213331310100 has 108 divisors (see below), whose sum is σ = 674592940476. Its totient is φ = 56384885760.

The previous prime is 213331310077. The next prime is 213331310111. The reversal of 213331310100 is 1013133312.

It is a happy number.

213331310100 is a `hidden beast` number, since 2 + 13 + 331 + 310 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2964149136 + 210367160964 = 54444^2 + 458658^2 .

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 35 ways as a sum of consecutive naturals, for example, 947127 + ... + 1150526.

Almost surely, 2^213331310100 is an apocalyptic number.

213331310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213331310100 is an abundant number, since it is smaller than the sum of its proper divisors (461261630376).

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

213331310100 is a wasteful number, since it uses less digits than its factorization.

213331310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097786 (or 2097776 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 213331310100 its reverse (1013133312), we get a palindrome (214344443412).

The spelling of 213331310100 in words is "two hundred thirteen billion, three hundred thirty-one million, three hundred ten thousand, one hundred".