3133443313 has 64 divisors (see below), whose sum is σ = 4309627392. Its totient is φ = 2199674880.

The previous prime is 3133443293. The next prime is 3133443317.

3133443313 is nontrivially palindromic in base 10.

3133443313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-3133443313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3133443317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10010845 + ... + 10011157.

It is an arithmetic number, because the mean of its divisors is an integer number (67337928).

Almost surely, 2^3133443313 is an apocalyptic number.

It is an amenable number.

3133443313 is a deficient number, since it is larger than the sum of its proper divisors (1176184079).

3133443313 is a wasteful number, since it uses less digits than its factorization.

3133443313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554.

The product of its digits is 11664, while the sum is 28.

The square root of 3133443313 is about 55977.1677829452. The cubic root of 3133443313 is about 1463.3243995294.

It can be divided in two parts, 3133443 and 313, that added together give a triangular number (3133756 = T₂₅₀₃).

The spelling of 3133443313 in words is "three billion, one hundred thirty-three million, four hundred forty-three thousand, three hundred thirteen".