123133012100 has 72 divisors (see below), whose sum is σ = 305693976000. Its totient is φ = 42172225920.

The previous prime is 123133012073. The next prime is 123133012133. The reversal of 123133012100 is 1210331321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570026 + ... + 755774.

Almost surely, 2^123133012100 is an apocalyptic number.

123133012100 is a gapful number since it is divisible by the number (10) 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 123133012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152846988000).

123133012100 is an abundant number, since it is smaller than the sum of its proper divisors (182560963900).

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

123133012100 is a wasteful number, since it uses less digits than its factorization.

123133012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186717 (or 186710 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 123133012100 its reverse (1210331321), we get a palindrome (124343343421).

The spelling of 123133012100 in words is "one hundred twenty-three billion, one hundred thirty-three million, twelve thousand, one hundred".