213199046100 has 108 divisors (see below), whose sum is σ = 675769365180. Its totient is φ = 56214259200.

The previous prime is 213199046063. The next prime is 213199046101. The reversal of 213199046100 is 1640991312.

It is a happy number.

213199046100 is a `hidden beast` number, since 2 + 1 + 3 + 199 + 0 + 461 + 0 + 0 = 666.

213199046100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 386594244 + 212812451856 = 19662^2 + 461316^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213199046101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1250731 + ... + 1410930.

Almost surely, 2^213199046100 is an apocalyptic number.

213199046100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213199046100 is an abundant number, since it is smaller than the sum of its proper divisors (462570319080).

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

213199046100 is a wasteful number, since it uses less digits than its factorization.

213199046100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661770 (or 2661760 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 213199046100 in words is "two hundred thirteen billion, one hundred ninety-nine million, forty-six thousand, one hundred".