23131133100 has 108 divisors (see below), whose sum is σ = 72538404120. Its totient is φ = 6165312000.

The previous prime is 23131133041. The next prime is 23131133107. The reversal of 23131133100 is 133113132.

It is a happy number.

23131133100 is a `hidden beast` number, since 23 + 1 + 311 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×23131133100² (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 not an unprimeable number, because it can be changed into a prime (23131133107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2343175 + ... + 2353025.

It is an arithmetic number, because the mean of its divisors is an integer number (671651890).

Almost surely, 2^23131133100 is an apocalyptic number.

23131133100 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 23131133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36269202060).

23131133100 is an abundant number, since it is smaller than the sum of its proper divisors (49407271020).

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

23131133100 is a wasteful number, since it uses less digits than its factorization.

23131133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12480 (or 12470 counting only the distinct ones).

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

Adding to 23131133100 its reverse (133113132), we get a palindrome (23264246232).

The spelling of 23131133100 in words is "twenty-three billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred".