213132320100 has 216 divisors, whose sum is σ = 808398759168. Its totient is φ = 45850291200.

The previous prime is 213132320081. The next prime is 213132320129. The reversal of 213132320100 is 1023231312.

213132320100 is a `hidden beast` number, since 21 + 313 + 2 + 320 + 10 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 887916 + ... + 1102115.

It is an arithmetic number, because the mean of its divisors is an integer number (3742586848).

Almost surely, 2^213132320100 is an apocalyptic number.

213132320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132320100 is an abundant number, since it is smaller than the sum of its proper divisors (595266439068).

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

213132320100 is a wasteful number, since it uses less digits than its factorization.

213132320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990075 (or 1990065 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213132320100 its reverse (1023231312), we get a palindrome (214155551412).

The spelling of 213132320100 in words is "two hundred thirteen billion, one hundred thirty-two million, three hundred twenty thousand, one hundred".