3133553313 has 16 divisors (see below), whose sum is σ = 4559486976. Its totient is φ = 1898460240.

The previous prime is 3133553279. The next prime is 3133553317.

3133553313 is nontrivially palindromic in base 10.

3133553313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3133553313 - 2¹⁴ = 3133536929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3133553317) 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, 89520 + ... + 119502.

It is an arithmetic number, because the mean of its divisors is an integer number (284967936).

Almost surely, 2^3133553313 is an apocalyptic number.

3133553313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3133553313 is a deficient number, since it is larger than the sum of its proper divisors (1425933663).

3133553313 is a wasteful number, since it uses less digits than its factorization.

3133553313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33164.

The product of its digits is 18225, while the sum is 30.

The square root of 3133553313 is about 55978.1503177802. The cubic root of 3133553313 is about 1463.3415227370.

It can be divided in two parts, 31335 and 53313, that added together give a palindrome (84648).

The spelling of 3133553313 in words is "three billion, one hundred thirty-three million, five hundred fifty-three thousand, three hundred thirteen".