23321133213120 has 448 divisors, whose sum is σ = 82518469862400. Its totient is φ = 6200347668480.

The previous prime is 23321133213061. The next prime is 23321133213137. The reversal of 23321133213120 is 2131233112332.

23321133213120 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 11 + 332 + 1 + 312 + 0 = 666.

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

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, 6062159037 + ... + 6062162883.

Almost surely, 2^{23321133213120} is an apocalyptic number.

23321133213120 is a gapful number since it is divisible by the number (20) 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 23321133213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41259234931200).

23321133213120 is an abundant number, since it is smaller than the sum of its proper divisors (59197336649280).

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

23321133213120 is a wasteful number, since it uses less digits than its factorization.

23321133213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 23321133213120 its reverse (2131233112332), we get a palindrome (25452366325452).

It can be divided in two parts, 2332113 and 3213120, that added together give a cube (5545233 = 177³).

The spelling of 23321133213120 in words is "twenty-three trillion, three hundred twenty-one billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred twenty".