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13132012320133 = 717253172171167
BaseRepresentation
bin1011111100011000100011…
…1011011111010110000101
31201111102000111222020011121
42333012020323133112011
53210123330123221013
643532432502433541
72523520335662320
oct277061073372605
951442014866147
1013132012320133
114203289670813
1215810a44328b1
1374346072bc05
143358428757b7
1517b8d8ee358d
hexbf188edf585

13132012320133 has 48 divisors (see below), whose sum is σ = 16253243080704. Its totient is φ = 10387822049280.

The previous prime is 13132012320083. The next prime is 13132012320139. The reversal of 13132012320133 is 33102321023131.

It is not a de Polignac number, because 13132012320133 - 225 = 13131978765701 is a prime.

It is a super-2 number, since 2×131320123201332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13132012320098 and 13132012320107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132012320139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184488316 + ... + 184559482.

It is an arithmetic number, because the mean of its divisors is an integer number (338609230848).

Almost surely, 213132012320133 is an apocalyptic number.

It is an amenable number.

13132012320133 is a deficient number, since it is larger than the sum of its proper divisors (3121230760571).

13132012320133 is a wasteful number, since it uses less digits than its factorization.

13132012320133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72982 (or 72965 counting only the distinct ones).

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

Adding to 13132012320133 its reverse (33102321023131), we get a palindrome (46234333343264).

The spelling of 13132012320133 in words is "thirteen trillion, one hundred thirty-two billion, twelve million, three hundred twenty thousand, one hundred thirty-three".

Divisors: 1 7 17 53 119 289 371 901 1721 2023 6307 12047 15317 29257 71167 91213 107219 204799 497369 498169 638491 1209839 1550621 3481583 3771851 8468873 10854347 20567263 26360557 26402957 64121467 122478407 143970841 184523899 448850269 857348849 1090064939 2082132919 6491355571 7630454573 14574930433 35396259623 45439488997 110353044707 247773817361 772471312949 1876001760019 13132012320133