3131131434431 has 48 divisors (see below), whose sum is σ = 4321477083168. Its totient is φ = 2229863328000.

The previous prime is 3131131434367. The next prime is 3131131434433. The reversal of 3131131434431 is 1344341311313.

It is not a de Polignac number, because 3131131434431 - 2⁶ = 3131131434367 is a prime.

It is a super-2 number, since 2×3131131434431² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131131434433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504460 + ... + 2919873.

It is an arithmetic number, because the mean of its divisors is an integer number (90030772566).

Almost surely, 2^{3131131434431} is an apocalyptic number.

3131131434431 is a deficient number, since it is larger than the sum of its proper divisors (1190345648737).

3131131434431 is a wasteful number, since it uses less digits than its factorization.

3131131434431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424472 (or 4424465 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

Adding to 3131131434431 its reverse (1344341311313), we get a palindrome (4475472745744).

The spelling of 3131131434431 in words is "three trillion, one hundred thirty-one billion, one hundred thirty-one million, four hundred thirty-four thousand, four hundred thirty-one".