131213313 has 48 divisors (see below), whose sum is σ = 244483200. Its totient is φ = 65802240.

The previous prime is 131213281. The next prime is 131213317. The reversal of 131213313 is 313312131.

It is a happy number.

It is not a de Polignac number, because 131213313 - 2⁵ = 131213281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131213317) 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, 16833 + ... + 23361.

It is an arithmetic number, because the mean of its divisors is an integer number (5093400).

Almost surely, 2^131213313 is an apocalyptic number.

It is an amenable number.

131213313 is a deficient number, since it is larger than the sum of its proper divisors (113269887).

131213313 is a wasteful number, since it uses less digits than its factorization.

131213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6579 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 131213313 is about 11454.8379735376. The cubic root of 131213313 is about 508.1508234767.

Adding to 131213313 its reverse (313312131), we get a palindrome (444525444).

It can be divided in two parts, 131 and 213313, that added together give a square (213444 = 462²).

The spelling of 131213313 in words is "one hundred thirty-one million, two hundred thirteen thousand, three hundred thirteen".