213121313021100 has 144 divisors (see below), whose sum is σ = 682162847283456. Its totient is φ = 50938085856000.

The previous prime is 213121313021077. The next prime is 213121313021117. The reversal of 213121313021100 is 1120313121312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454570039 + ... + 455038638.

It is an arithmetic number, because the mean of its divisors is an integer number (4737241995024).

Almost surely, 2^{213121313021100} is an apocalyptic number.

213121313021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213121313021100 is an abundant number, since it is smaller than the sum of its proper divisors (469041534262356).

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

213121313021100 is a wasteful number, since it uses less digits than its factorization.

213121313021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909608776 (or 909608769 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 213121313021100 its reverse (1120313121312), we get a palindrome (214241626142412).

The spelling of 213121313021100 in words is "two hundred thirteen trillion, one hundred twenty-one billion, three hundred thirteen million, twenty-one thousand, one hundred".