31231413213 has 256 divisors, whose sum is σ = 61011836928. Its totient is φ = 13799808000.

The previous prime is 31231413211. The next prime is 31231413217.

31231413213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31231413213 - 2¹ = 31231413211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31231413211) 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 255 ways as a sum of consecutive naturals, for example, 309221863 + ... + 309221963.

It is an arithmetic number, because the mean of its divisors is an integer number (238327488).

Almost surely, 2^31231413213 is an apocalyptic number.

31231413213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31231413213 is a deficient number, since it is larger than the sum of its proper divisors (29780423715).

31231413213 is a wasteful number, since it uses less digits than its factorization.

31231413213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

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

It can be divided in two parts, 31231 and 413213, that added together give a palindrome (444444).

The spelling of 31231413213 in words is "thirty-one billion, two hundred thirty-one million, four hundred thirteen thousand, two hundred thirteen".