23133213003000 has 256 divisors, whose sum is σ = 72998203299840. Its totient is φ = 6098751360000.

The previous prime is 23133213002959. The next prime is 23133213003049. The reversal of 23133213003000 is 30031233132.

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, 185646717 + ... + 185771283.

It is an arithmetic number, because the mean of its divisors is an integer number (285149231640).

Almost surely, 2^{23133213003000} is an apocalyptic number.

23133213003000 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 23133213003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36499101649920).

23133213003000 is an abundant number, since it is smaller than the sum of its proper divisors (49864990296840).

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

23133213003000 is a wasteful number, since it uses less digits than its factorization.

23133213003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125295 (or 125281 counting only the distinct ones).

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

Adding to 23133213003000 its reverse (30031233132), we get a palindrome (23163244236132).

The spelling of 23133213003000 in words is "twenty-three trillion, one hundred thirty-three billion, two hundred thirteen million, three thousand".