233113132100 has 36 divisors (see below), whose sum is σ = 507655755348. Its totient is φ = 92913408000.

The previous prime is 233113132081. The next prime is 233113132141. The reversal of 233113132100 is 1231311332.

It can be written as a sum of positive squares in 6 ways, for example, as 12921323584 + 220191808516 = 113672^2 + 469246^2 .

It is a super-4 number, since 4×233113132100⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4119821 + ... + 4176020.

Almost surely, 2^233113132100 is an apocalyptic number.

233113132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233113132100 is an abundant number, since it is smaller than the sum of its proper divisors (274542623248).

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

233113132100 is a wasteful number, since it uses less digits than its factorization.

233113132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8296136 (or 8296129 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 233113132100 its reverse (1231311332), we get a palindrome (234344443432).

The spelling of 233113132100 in words is "two hundred thirty-three billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred".