3133020203313 has 96 divisors (see below), whose sum is σ = 5707213161216. Its totient is φ = 1487471040000.

The previous prime is 3133020203303. The next prime is 3133020203329.

3133020203313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3133020203313 - 2¹² = 3133020199217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3133020203303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2866803 + ... + 3805863.

It is an arithmetic number, because the mean of its divisors is an integer number (59450137096).

Almost surely, 2^{3133020203313} is an apocalyptic number.

3133020203313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3133020203313 is a deficient number, since it is larger than the sum of its proper divisors (2574192957903).

3133020203313 is a wasteful number, since it uses less digits than its factorization.

3133020203313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939207 (or 939196 counting only the distinct ones).

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

It can be divided in two parts, 3133020 and 203313, that added together give a palindrome (3336333).

The spelling of 3133020203313 in words is "three trillion, one hundred thirty-three billion, twenty million, two hundred three thousand, three hundred thirteen".