3133313121333 has 64 divisors (see below), whose sum is σ = 4515927552000. Its totient is φ = 1925327416320.

The previous prime is 3133313121329. The next prime is 3133313121353. The reversal of 3133313121333 is 3331213133313.

It is not a de Polignac number, because 3133313121333 - 2² = 3133313121329 is a prime.

It is a super-2 number, since 2×3133313121333² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3133313121333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133313121353) 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, 470534758 + ... + 470541416.

It is an arithmetic number, because the mean of its divisors is an integer number (70561368000).

Almost surely, 2^{3133313121333} is an apocalyptic number.

It is an amenable number.

3133313121333 is a deficient number, since it is larger than the sum of its proper divisors (1382614430667).

3133313121333 is a wasteful number, since it uses less digits than its factorization.

3133313121333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7602.

The product of its digits is 13122, while the sum is 30.

Adding to 3133313121333 its reverse (3331213133313), we get a palindrome (6464526254646).

The spelling of 3133313121333 in words is "three trillion, one hundred thirty-three billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred thirty-three".