213131123100 has 144 divisors (see below), whose sum is σ = 783059603200. Its totient is φ = 48715680960.

The previous prime is 213131123083. The next prime is 213131123119. The reversal of 213131123100 is 1321131312.

213131123100 is a `hidden beast` number, since 213 + 131 + 12 + 310 + 0 = 666.

It is a super-2 number, since 2×213131123100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5619490 + ... + 5657289.

Almost surely, 2^213131123100 is an apocalyptic number.

213131123100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131123100 is an abundant number, since it is smaller than the sum of its proper divisors (569928480100).

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

213131123100 is a wasteful number, since it uses less digits than its factorization.

213131123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276809 (or 11276796 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213131123100 its reverse (1321131312), we get a palindrome (214452254412).

The spelling of 213131123100 in words is "two hundred thirteen billion, one hundred thirty-one million, one hundred twenty-three thousand, one hundred".