3131221313 has 16 divisors (see below), whose sum is σ = 3618743040. Its totient is φ = 2677689600.

The previous prime is 3131221283. The next prime is 3131221319.

3131221313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3131221313 - 2¹⁶ = 3131155777 is a prime.

It is a super-3 number, since 3×3131221313³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3131221319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496343 + ... + 502611.

It is an arithmetic number, because the mean of its divisors is an integer number (226171440).

Almost surely, 2^3131221313 is an apocalyptic number.

It is an amenable number.

3131221313 is a deficient number, since it is larger than the sum of its proper divisors (487521727).

3131221313 is a wasteful number, since it uses less digits than its factorization.

3131221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8968.

The product of its digits is 324, while the sum is 20.

The square root of 3131221313 is about 55957.3168852832. The cubic root of 3131221313 is about 1462.9784248973.

It can be divided in two parts, 31312 and 21313, that added together give a palindrome (52625).

The spelling of 3131221313 in words is "three billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred thirteen".