131223212100 has 108 divisors (see below), whose sum is σ = 422428512324. Its totient is φ = 34047095040.

The previous prime is 131223212089. The next prime is 131223212123. The reversal of 131223212100 is 1212322131.

131223212100 is a `hidden beast` number, since 1 + 312 + 232 + 121 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10803107844 + 120420104256 = 103938^2 + 347016^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1937019 + ... + 2003618.

Almost surely, 2^131223212100 is an apocalyptic number.

131223212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223212100 is an abundant number, since it is smaller than the sum of its proper divisors (291205300224).

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

131223212100 is a wasteful number, since it uses less digits than its factorization.

131223212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940694 (or 3940684 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131223212100 its reverse (1212322131), we get a palindrome (132435534231).

The spelling of 131223212100 in words is "one hundred thirty-one billion, two hundred twenty-three million, two hundred twelve thousand, one hundred".