213123123100 has 72 divisors (see below), whose sum is σ = 501069835728. Its totient is φ = 78368640000.

The previous prime is 213123123079. The next prime is 213123123113. The reversal of 213123123100 is 1321321312.

213123123100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213123123100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1384651 + ... + 1530850.

It is an arithmetic number, because the mean of its divisors is an integer number (6959303274).

Almost surely, 2^213123123100 is an apocalyptic number.

213123123100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213123123100 is an abundant number, since it is smaller than the sum of its proper divisors (287946712628).

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

213123123100 is a wasteful number, since it uses less digits than its factorization.

213123123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915575 (or 2915568 counting only the distinct ones).

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

Adding to 213123123100 its reverse (1321321312), we get a palindrome (214444444412).

The spelling of 213123123100 in words is "two hundred thirteen billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred".