213121130100 has 72 divisors (see below), whose sum is σ = 622087475520. Its totient is φ = 56329351680.

The previous prime is 213121130087. The next prime is 213121130111. The reversal of 213121130100 is 1031121312.

It is a happy number.

213121130100 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 2×213121130100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213121130100.

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, 3109480 + ... + 3177279.

Almost surely, 2^213121130100 is an apocalyptic number.

213121130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213121130100 is an abundant number, since it is smaller than the sum of its proper divisors (408966345420).

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

213121130100 is a wasteful number, since it uses less digits than its factorization.

213121130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286889 (or 6286882 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 213121130100 its reverse (1031121312), we get a palindrome (214152251412).

The spelling of 213121130100 in words is "two hundred thirteen billion, one hundred twenty-one million, one hundred thirty thousand, one hundred".