23033133133032 has 512 divisors, whose sum is σ = 68943902146560. Its totient is φ = 6333272064000.

The previous prime is 23033133133027. The next prime is 23033133133051.

It is a happy number.

23033133133032 is nontrivially palindromic in base 10.

23033133133032 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6333001518 + ... + 6333005154.

It is an arithmetic number, because the mean of its divisors is an integer number (134656058880).

Almost surely, 2^{23033133133032} is an apocalyptic number.

23033133133032 is a gapful number since it is divisible by the number (22) 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 23033133133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34471951073280).

23033133133032 is an abundant number, since it is smaller than the sum of its proper divisors (45910769013528).

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

23033133133032 is a wasteful number, since it uses less digits than its factorization.

23033133133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 30.

It can be divided in two parts, 2303313 and 3133032, that added together give a palindrome (5436345).

The spelling of 23033133133032 in words is "twenty-three trillion, thirty-three billion, one hundred thirty-three million, one hundred thirty-three thousand, thirty-two".