23133300333132 has 96 divisors (see below), whose sum is σ = 59440462583040. Its totient is φ = 6943969969920.

The previous prime is 23133300333119. The next prime is 23133300333133.

It is a happy number.

23133300333132 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23133300333132.

It is not an unprimeable number, because it can be changed into a prime (23133300333133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55574923 + ... + 55989629.

It is an arithmetic number, because the mean of its divisors is an integer number (619171485240).

Almost surely, 2^{23133300333132} is an apocalyptic number.

23133300333132 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 23133300333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29720231291520).

23133300333132 is an abundant number, since it is smaller than the sum of its proper divisors (36307162249908).

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

23133300333132 is a wasteful number, since it uses less digits than its factorization.

23133300333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418711 (or 418709 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, 23133300 and 333132, that added together give a palindrome (23466432).

The spelling of 23133300333132 in words is "twenty-three trillion, one hundred thirty-three billion, three hundred million, three hundred thirty-three thousand, one hundred thirty-two".