3313123133130 has 80 divisors (see below), whose sum is σ = 8909200057824. Its totient is φ = 883441974240.

The previous prime is 3313123133129. The next prime is 3313123133141. The reversal of 3313123133130 is 313313213133.

3313123133130 is a `hidden beast` number, since 3 + 3 + 1 + 31 + 2 + 313 + 313 + 0 = 666.

It is a super-2 number, since 2×3313123133130² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3313123133094 and 3313123133103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13129045 + ... + 13379015.

Almost surely, 2^{3313123133130} is an apocalyptic number.

3313123133130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3313123133130 is an abundant number, since it is smaller than the sum of its proper divisors (5596076924694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3313123133130 is a wasteful number, since it uses less digits than its factorization.

3313123133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266353 (or 266344 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 3313123133130 its reverse (313313213133), we get a palindrome (3626436346263).

The spelling of 3313123133130 in words is "three trillion, three hundred thirteen billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty".