13431013431 has 48 divisors (see below), whose sum is σ = 20418240864. Its totient is φ = 7840800000.

The previous prime is 13431013381. The next prime is 13431013439.

13431013431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13431013431 - 2¹⁰ = 13431012407 is a prime.

It is a super-2 number, since 2×13431013431² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431013439) 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, 1351581 + ... + 1361481.

It is an arithmetic number, because the mean of its divisors is an integer number (425380018).

Almost surely, 2^13431013431 is an apocalyptic number.

13431013431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13431013431 is a deficient number, since it is larger than the sum of its proper divisors (6987227433).

13431013431 is a wasteful number, since it uses less digits than its factorization.

13431013431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10064 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 134310 and 13431, that added together give a palindrome (147741).

The spelling of 13431013431 in words is "thirteen billion, four hundred thirty-one million, thirteen thousand, four hundred thirty-one".