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131520253345013 = 13113393432275639
BaseRepresentation
bin11101111001110111110001…
…111110110011110011110101
3122020200012202120212221202202
4131321313301332303303311
5114214311434324020023
61143415323103114245
736463011325010231
oct3571676176636365
9566605676787682
10131520253345013
11389a7476318485
121290160a8a2985
1358503ca9ba4c0
14246988561b5c1
151031224a54128
hex779df1fb3cf5

131520253345013 has 16 divisors (see below), whose sum is σ = 142894317135360. Its totient is φ = 120325833863424.

The previous prime is 131520253345007. The next prime is 131520253345043. The reversal of 131520253345013 is 310543352025131.

It is a cyclic number.

It is not a de Polignac number, because 131520253345013 - 210 = 131520253343989 is a prime.

It is a super-2 number, since 2×1315202533450132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131520253345043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56657048 + ... + 58932686.

It is an arithmetic number, because the mean of its divisors is an integer number (8930894820960).

Almost surely, 2131520253345013 is an apocalyptic number.

131520253345013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131520253345013 is a deficient number, since it is larger than the sum of its proper divisors (11374063790347).

131520253345013 is a wasteful number, since it uses less digits than its factorization.

131520253345013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315108.

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 131520253345013 in words is "one hundred thirty-one trillion, five hundred twenty billion, two hundred fifty-three million, three hundred forty-five thousand, thirteen".

Divisors: 1 13 113 1469 39343 511459 2275639 4445759 29583307 57794867 257147207 3342913691 89530465177 1163896047301 10116942565001 131520253345013