213133212100 has 18 divisors (see below), whose sum is σ = 462499070474. Its totient is φ = 85253284800.

The previous prime is 213133212043. The next prime is 213133212113. The reversal of 213133212100 is 1212331312.

It can be written as a sum of positive squares in 3 ways, for example, as 54281544256 + 158851667844 = 232984^2 + 398562^2 .

It is a super-2 number, since 2×213133212100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1065665961 + ... + 1065666160.

Almost surely, 2^213133212100 is an apocalyptic number.

213133212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213133212100 is an abundant number, since it is smaller than the sum of its proper divisors (249365858374).

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

213133212100 is a wasteful number, since it uses less digits than its factorization.

213133212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131332135 (or 2131332128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213133212100 its reverse (1212331312), we get a palindrome (214345543412).

The spelling of 213133212100 in words is "two hundred thirteen billion, one hundred thirty-three million, two hundred twelve thousand, one hundred".