23111131112100 has 54 divisors (see below), whose sum is σ = 72440556521970. Its totient is φ = 6162968296320.

The previous prime is 23111131112093. The next prime is 23111131112119. The reversal of 23111131112100 is 121113111132.

23111131112100 is a `hidden beast` number, since 2 + 31 + 111 + 311 + 1 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5525470799424 + 17585660312676 = 2350632^2 + 4193526^2 .

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 (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12839516385 + ... + 12839518184.

Almost surely, 2^{23111131112100} is an apocalyptic number.

23111131112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23111131112100 is an abundant number, since it is smaller than the sum of its proper divisors (49329425409870).

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

23111131112100 is a wasteful number, since it uses less digits than its factorization.

23111131112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25679034589 (or 25679034579 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 23111131112100 its reverse (121113111132), we get a palindrome (23232244223232).

The spelling of 23111131112100 in words is "twenty-three trillion, one hundred eleven billion, one hundred thirty-one million, one hundred twelve thousand, one hundred".