23333001132000 has 384 divisors, whose sum is σ = 87373570572288. Its totient is φ = 5332353024000.

The previous prime is 23333001131959. The next prime is 23333001132043. The reversal of 23333001132000 is 23110033332.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 580503904 + ... + 580544096.

It is an arithmetic number, because the mean of its divisors is an integer number (227535340032).

Almost surely, 2^{23333001132000} is an apocalyptic number.

23333001132000 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 23333001132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43686785286144).

23333001132000 is an abundant number, since it is smaller than the sum of its proper divisors (64040569440288).

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

23333001132000 is a wasteful number, since it uses less digits than its factorization.

23333001132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47139 (or 47121 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 23333001132000 its reverse (23110033332), we get a palindrome (23356111165332).

The spelling of 23333001132000 in words is "twenty-three trillion, three hundred thirty-three billion, one million, one hundred thirty-two thousand".