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131141324013131 = 3740155011606763
BaseRepresentation
bin11101110100010110111000…
…000010000111111001001011
3122012022222200100111102120102
4131310112320002013321023
5114142104412421410011
61142525254220320015
736423435155562425
oct3564267002077113
9565288610442512
10131141324013131
11388707a5615993
12128600980a300b
13582375c807923
1424553b9a05815
151026447db673b
hex7745b8087e4b

131141324013131 has 16 divisors (see below), whose sum is σ = 135046187605728. Its totient is φ = 127255550400000.

The previous prime is 131141324013101. The next prime is 131141324013233. The reversal of 131141324013131 is 131310423141131.

It is a happy number.

It is not a de Polignac number, because 131141324013131 - 242 = 126743277502027 is a prime.

It is a super-2 number, since 2×1311413240131312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131141324013094 and 131141324013103.

It is not an unprimeable number, because it can be changed into a prime (131141324013101) 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, 80814956 + ... + 82421718.

It is an arithmetic number, because the mean of its divisors is an integer number (8440386725358).

Almost surely, 2131141324013131 is an apocalyptic number.

131141324013131 is a deficient number, since it is larger than the sum of its proper divisors (3904863592597).

131141324013131 is a wasteful number, since it uses less digits than its factorization.

131141324013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612702.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 131141324013131 its reverse (131310423141131), we get a palindrome (262451747154262).

The spelling of 131141324013131 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, thirteen thousand, one hundred thirty-one".

Divisors: 1 37 401 5501 14837 203537 1606763 2205901 59450231 81618337 644311963 8838803263 23839542631 327035720731 3544360108463 131141324013131