3000013332000 has 96 divisors (see below), whose sum is σ = 9828043714944. Its totient is φ = 800003552000.

The previous prime is 3000013331989. The next prime is 3000013332011. The reversal of 3000013332000 is 2333100003.

It is an interprime number because it is at equal distance from previous prime (3000013331989) and next prime (3000013332011).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 124988556 + ... + 125012555.

It is an arithmetic number, because the mean of its divisors is an integer number (102375455364).

Almost surely, 2^{3000013332000} is an apocalyptic number.

3000013332000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000013332000 is an abundant number, since it is smaller than the sum of its proper divisors (6828030382944).

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

3000013332000 is a wasteful number, since it uses less digits than its factorization.

3000013332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250001139 (or 250001121 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 3000013332000 its reverse (2333100003), we get a palindrome (3002346432003).

The spelling of 3000013332000 in words is "three trillion, thirteen million, three hundred thirty-two thousand".