3132332313 has 16 divisors (see below), whose sum is σ = 4561790400. Its totient is φ = 1896020480.

The previous prime is 3132332299. The next prime is 3132332317.

3132332313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3132332313 - 2³⁰ = 2058590489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3132332317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31968 + ... + 85361.

It is an arithmetic number, because the mean of its divisors is an integer number (285111900).

Almost surely, 2^3132332313 is an apocalyptic number.

3132332313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3132332313 is a deficient number, since it is larger than the sum of its proper divisors (1429458087).

3132332313 is a wasteful number, since it uses less digits than its factorization.

3132332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118152.

The product of its digits is 2916, while the sum is 24.

The square root of 3132332313 is about 55967.2432142231. The cubic root of 3132332313 is about 1463.1514326655.

It can be divided in two parts, 31323 and 32313, that added together give a palindrome (63636).

The spelling of 3132332313 in words is "three billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred thirteen".