31413031413 has 32 divisors (see below), whose sum is σ = 43599852672. Its totient is φ = 20100960000.

The previous prime is 31413031369. The next prime is 31413031439.

31413031413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31413031413 - 2¹³ = 31413023221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31413231413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3167763 + ... + 3177663.

It is an arithmetic number, because the mean of its divisors is an integer number (1362495396).

Almost surely, 2^31413031413 is an apocalyptic number.

It is an amenable number.

31413031413 is a deficient number, since it is larger than the sum of its proper divisors (12186821259).

31413031413 is a wasteful number, since it uses less digits than its factorization.

31413031413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325.

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

It can be divided in two parts, 314130 and 31413, that added together give a palindrome (345543).

The spelling of 31413031413 in words is "thirty-one billion, four hundred thirteen million, thirty-one thousand, four hundred thirteen".