3330013131000 has 768 divisors, whose sum is σ = 12347112960000. Its totient is φ = 806246784000.

The previous prime is 3330013130959. The next prime is 3330013131013. The reversal of 3330013131000 is 1313100333.

It is a super-2 number, since 2×3330013131000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 191 ways as a sum of consecutive naturals, for example, 689298585 + ... + 689303415.

It is an arithmetic number, because the mean of its divisors is an integer number (16076970000).

Almost surely, 2^{3330013131000} is an apocalyptic number.

3330013131000 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 3330013131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173556480000).

3330013131000 is an abundant number, since it is smaller than the sum of its proper divisors (9017099829000).

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

3330013131000 is a wasteful number, since it uses less digits than its factorization.

3330013131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 3330013131000 its reverse (1313100333), we get a palindrome (3331326231333).

The spelling of 3330013131000 in words is "three trillion, three hundred thirty billion, thirteen million, one hundred thirty-one thousand".