23133113100 has 108 divisors (see below), whose sum is σ = 72624388200. Its totient is φ = 6159052800.

The previous prime is 23133113089. The next prime is 23133113123. The reversal of 23133113100 is 131133132.

It is a happy number.

23133113100 is a `hidden beast` number, since 23 + 1 + 331 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×23133113100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 556851 + ... + 596949.

Almost surely, 2^23133113100 is an apocalyptic number.

23133113100 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 23133113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36312194100).

23133113100 is an abundant number, since it is smaller than the sum of its proper divisors (49491275100).

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

23133113100 is a wasteful number, since it uses less digits than its factorization.

23133113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40760 (or 40750 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 23133113100 its reverse (131133132), we get a palindrome (23264246232).

The spelling of 23133113100 in words is "twenty-three billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred".