131244312100431 has 64 divisors (see below), whose sum is σ = 181548987148800. Its totient is φ = 84293092122624.

The previous prime is 131244312100409. The next prime is 131244312100487. The reversal of 131244312100431 is 134001213442131.

It is not a de Polignac number, because 131244312100431 - 2⁵ = 131244312100399 is a prime.

It is a super-2 number, since 2×131244312100431² (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 (131244312100631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15570563125 + ... + 15570571553.

It is an arithmetic number, because the mean of its divisors is an integer number (2836702924200).

Almost surely, 2^{131244312100431} is an apocalyptic number.

131244312100431 is a deficient number, since it is larger than the sum of its proper divisors (50304675048369).

131244312100431 is a wasteful number, since it uses less digits than its factorization.

131244312100431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16120.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131244312100431 its reverse (134001213442131), we get a palindrome (265245525542562).

The spelling of 131244312100431 in words is "one hundred thirty-one trillion, two hundred forty-four billion, three hundred twelve million, one hundred thousand, four hundred thirty-one".