3313130331000 has 512 divisors, whose sum is σ = 12299380254720. Its totient is φ = 726713856000.

The previous prime is 3313130330987. The next prime is 3313130331019. The reversal of 3313130331000 is 1330313133.

It is a super-2 number, since 2×3313130331000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56691795 + ... + 56750205.

It is an arithmetic number, because the mean of its divisors is an integer number (24022227060).

Almost surely, 2^{3313130331000} is an apocalyptic number.

3313130331000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313130331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149690127360).

3313130331000 is an abundant number, since it is smaller than the sum of its proper divisors (8986249923720).

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

3313130331000 is a wasteful number, since it uses less digits than its factorization.

3313130331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58552 (or 58538 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 3313130331000 its reverse (1330313133), we get a palindrome (3314460644133).

The spelling of 3313130331000 in words is "three trillion, three hundred thirteen billion, one hundred thirty million, three hundred thirty-one thousand".