31431411413413 has 32 divisors (see below), whose sum is σ = 36044542033920. Its totient is φ = 27129380984640.

The previous prime is 31431411413399. The next prime is 31431411413447.

31431411413413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31431411413413 - 2⁹ = 31431411412901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431411413473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173388220 + ... + 173569402.

It is an arithmetic number, because the mean of its divisors is an integer number (1126391938560).

Almost surely, 2^{31431411413413} is an apocalyptic number.

It is an amenable number.

31431411413413 is a deficient number, since it is larger than the sum of its proper divisors (4613130620507).

31431411413413 is a wasteful number, since it uses less digits than its factorization.

31431411413413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186289.

The product of its digits is 20736, while the sum is 34.

It can be divided in two parts, 3143141 and 1413413, that added together give a palindrome (4556554).

The spelling of 31431411413413 in words is "thirty-one trillion, four hundred thirty-one billion, four hundred eleven million, four hundred thirteen thousand, four hundred thirteen".