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13102031301132 = 22317414213720853
BaseRepresentation
bin1011111010101000110111…
…1010111110101000001100
31201101112122002101122211110
42332222031322332220030
53204130430003114012
643510553505252020
72521406356346544
oct276521572765014
951345562348743
1013102031301132
1141a15a4111464
121577317934010
13740693281497
143341dab6c324
1517ac31db873c
hexbea8debea0c

13102031301132 has 96 divisors (see below), whose sum is σ = 33238001813184. Its totient is φ = 4000660070400.

The previous prime is 13102031301131. The next prime is 13102031301133. The reversal of 13102031301132 is 23110313020131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13102031301131) and next prime (13102031301133).

It is a junction number, because it is equal to n+sod(n) for n = 13102031301099 and 13102031301108.

It is not an unprimeable number, because it can be changed into a prime (13102031301131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1660818 + ... + 5381670.

It is an arithmetic number, because the mean of its divisors is an integer number (346229185554).

Almost surely, 213102031301132 is an apocalyptic number.

13102031301132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102031301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16619000906592).

13102031301132 is an abundant number, since it is smaller than the sum of its proper divisors (20135970512052).

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

13102031301132 is a wasteful number, since it uses less digits than its factorization.

13102031301132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721339 (or 3721337 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13102031301132 its reverse (23110313020131), we get a palindrome (36212344321263).

The spelling of 13102031301132 in words is "thirteen trillion, one hundred two billion, thirty-one million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 421 492 697 842 1263 1394 1684 2091 2526 2788 4182 5052 7157 8364 14314 17261 21471 28628 34522 42942 51783 69044 85884 103566 207132 293437 586874 880311 1173748 1760622 3521244 3720853 7441706 11162559 14883412 22325118 44650236 63254501 126509002 152554973 189763503 253018004 305109946 379527006 457664919 610219892 759054012 915329838 1566479113 1830659676 2593434541 3132958226 4699437339 5186869082 6265916452 7780303623 9398874678 10373738164 15560607246 18797749356 26630144921 31121214492 53260289842 64225643633 79890434763 106520579684 128451287266 159780869526 192676930899 256902574532 319561739052 385353861798 770707723596 1091835941761 2183671883522 3275507825283 4367343767044 6551015650566 13102031301132