131414200432431 has 16 divisors (see below), whose sum is σ = 205134361651968. Its totient is φ = 73262272017600.

The previous prime is 131414200432423. The next prime is 131414200432469. The reversal of 131414200432431 is 134234002414131.

It is a happy number.

It is not a de Polignac number, because 131414200432431 - 2³ = 131414200432423 is a prime.

It is a super-2 number, since 2×131414200432431² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131414200432392 and 131414200432401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414200432631) 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, 76314865825 + ... + 76314867546.

It is an arithmetic number, because the mean of its divisors is an integer number (12820897603248).

Almost surely, 2^{131414200432431} is an apocalyptic number.

131414200432431 is a deficient number, since it is larger than the sum of its proper divisors (73720161219537).

131414200432431 is a wasteful number, since it uses less digits than its factorization.

131414200432431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152629733422.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 131414200432431 its reverse (134234002414131), we get a palindrome (265648202846562).

The spelling of 131414200432431 in words is "one hundred thirty-one trillion, four hundred fourteen billion, two hundred million, four hundred thirty-two thousand, four hundred thirty-one".