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131313202130032 = 24139711358679817
BaseRepresentation
bin11101110110110110111100…
…110001000110110001110000
3122012221102022211111102201221
4131312312330301012301300
5114202413414221130112
61143140241405034424
736442031363506156
oct3566667461066160
9565842284442657
10131313202130032
113892768630208a
1212889465855a14
135836a218a2c90
14245d842c8b3d6
15102ab5754ae07
hex776dbcc46c70

131313202130032 has 160 divisors (see below), whose sum is σ = 279340424943552. Its totient is φ = 59434292477952.

The previous prime is 131313202130009. The next prime is 131313202130053. The reversal of 131313202130032 is 230031202313131.

It is a junction number, because it is equal to n+sod(n) for n = 131313202129979 and 131313202130006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13376097988 + ... + 13376107804.

Almost surely, 2131313202130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131313202130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139670212471776).

131313202130032 is an abundant number, since it is smaller than the sum of its proper divisors (148027222813520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131313202130032 is a wasteful number, since it uses less digits than its factorization.

131313202130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15915 (or 15909 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 131313202130032 its reverse (230031202313131), we get a palindrome (361344404443163).

The spelling of 131313202130032 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred two million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 97 104 113 194 208 226 388 452 776 904 1261 1469 1552 1808 2522 2938 5044 5867 5876 9817 10088 10961 11734 11752 19634 20176 21922 23468 23504 39268 43844 46936 76271 78536 87688 93872 127621 142493 152542 157072 175376 255242 284986 305084 510484 569099 569972 610168 662971 952249 1020968 1109321 1138198 1139944 1220336 1325942 1904498 2041936 2218642 2276396 2279888 2651884 3808996 4437284 4552792 5303768 7398287 7617992 8618623 8874568 9105584 10607536 12379237 14421173 14796574 15235984 17237246 17749136 24758474 28842346 29593148 34474492 49516948 57596339 57684692 59186296 64308187 68948984 99033896 107604137 115192678 115369384 118372592 128616374 137897968 198067792 215208274 230385356 230738768 257232748 430416548 460770712 514465496 748752407 836006431 860833096 921541424 1028930992 1398853781 1497504814 1672012862 1721666192 2797707562 2995009628 3344025724 5586844883 5595415124 5990019256 6508386307 6688051448 11173689766 11190830248 11980038512 13016772614 13376102896 22347379532 22381660496 26033545228 44694759064 52067090456 72628983479 84609021991 89389518128 104134180912 145257966958 169218043982 290515933916 338436087964 581031867832 631313471779 676872175928 1162063735664 1262626943558 1353744351856 2525253887116 5050507774232 8207075133127 10101015548464 16414150266254 32828300532508 65656601065016 131313202130032