13431413431 has 24 divisors (see below), whose sum is σ = 15368822784. Its totient is φ = 11701472640.

The previous prime is 13431413279. The next prime is 13431413441.

13431413431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13431413431 - 2⁹ = 13431412919 is a prime.

It is a super-2 number, since 2×13431413431² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13431413431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431413441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173466 + ... + 238648.

It is an arithmetic number, because the mean of its divisors is an integer number (640367616).

Almost surely, 2^13431413431 is an apocalyptic number.

13431413431 is a deficient number, since it is larger than the sum of its proper divisors (1937409353).

13431413431 is a wasteful number, since it uses less digits than its factorization.

13431413431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65271 (or 65254 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The spelling of 13431413431 in words is "thirteen billion, four hundred thirty-one million, four hundred thirteen thousand, four hundred thirty-one".