3331032023000 has 256 divisors, whose sum is σ = 8734375203840. Its totient is φ = 1178572416000.

The previous prime is 3331032022991. The next prime is 3331032023021. The reversal of 3331032023000 is 3202301333.

It is a super-2 number, since 2×3331032023000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124385612 + ... + 124412388.

It is an arithmetic number, because the mean of its divisors is an integer number (34118653140).

Almost surely, 2^{3331032023000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331032023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367187601920).

3331032023000 is an abundant number, since it is smaller than the sum of its proper divisors (5403343180840).

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

3331032023000 is a wasteful number, since it uses less digits than its factorization.

3331032023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27115 (or 27101 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 3331032023000 its reverse (3202301333), we get a palindrome (3334234324333).

The spelling of 3331032023000 in words is "three trillion, three hundred thirty-one billion, thirty-two million, twenty-three thousand".