131001110431431 has 16 divisors (see below), whose sum is σ = 174789462962400. Its totient is φ = 87273432023040.

The previous prime is 131001110431417. The next prime is 131001110431483. The reversal of 131001110431431 is 134134011100131.

It is not a de Polignac number, because 131001110431431 - 2¹⁸ = 131001110169287 is a prime.

It is a super-2 number, since 2×131001110431431² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001110435431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30252231 + ... + 34310343.

It is an arithmetic number, because the mean of its divisors is an integer number (10924341435150).

Almost surely, 2^{131001110431431} is an apocalyptic number.

131001110431431 is a deficient number, since it is larger than the sum of its proper divisors (43788352530969).

131001110431431 is a wasteful number, since it uses less digits than its factorization.

131001110431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065586.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131001110431431 its reverse (134134011100131), we get a palindrome (265135121531562).

The spelling of 131001110431431 in words is "one hundred thirty-one trillion, one billion, one hundred ten million, four hundred thirty-one thousand, four hundred thirty-one".