3133223313 has 32 divisors (see below), whose sum is σ = 4689643392. Its totient is φ = 1844544000.

The previous prime is 3133223299. The next prime is 3133223347.

3133223313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3133223313 - 2⁴ = 3133223297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3133223363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167781 + ... + 185517.

It is an arithmetic number, because the mean of its divisors is an integer number (146551356).

Almost surely, 2^3133223313 is an apocalyptic number.

3133223313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3133223313 is a deficient number, since it is larger than the sum of its proper divisors (1556420079).

3133223313 is a wasteful number, since it uses less digits than its factorization.

3133223313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17905.

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

The square root of 3133223313 is about 55975.2026615358. The cubic root of 3133223313 is about 1463.2901519121.

It can be divided in two parts, 31332 and 23313, that added together give a palindrome (54645).

The spelling of 3133223313 in words is "three billion, one hundred thirty-three million, two hundred twenty-three thousand, three hundred thirteen".