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131331303133131 = 3312298914017693
BaseRepresentation
bin11101110111000111110011…
…101010111100111111001011
3122020000011001022201122222010
4131313013303222330333023
5114203213002100230011
61143152433500231003
736443242056502023
oct3567076352747713
9566004038648863
10131331303133131
1138934324900682
1212890a7783b463
135838647a087ba
14246067cc8aa83
15102b3667061a6
hex7771f3abcfcb

131331303133131 has 8 divisors (see below), whose sum is σ = 175108472740240. Its totient is φ = 87554167807392.

The previous prime is 131331303133127. The next prime is 131331303133153.

131331303133131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131331303133131 - 22 = 131331303133127 is a prime.

It is a super-2 number, since 2×1313313031331312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131331303133031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2360121 + ... + 16377813.

It is an arithmetic number, because the mean of its divisors is an integer number (21888559092530).

Almost surely, 2131331303133131 is an apocalyptic number.

131331303133131 is a deficient number, since it is larger than the sum of its proper divisors (43777169607109).

131331303133131 is a wasteful number, since it uses less digits than its factorization.

131331303133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17140685.

The product of its (nonzero) digits is 6561, while the sum is 30.

It can be divided in two parts, 13133130 and 3133131, that added together give a palindrome (16266261).

The spelling of 131331303133131 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, three hundred three million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 3122989 9368967 14017693 42053079 43777101044377 131331303133131