213121313111000 has 256 divisors, whose sum is σ = 580969880524800. Its totient is φ = 71670534720000.

The previous prime is 213121313110987. The next prime is 213121313111027. The reversal of 213121313111000 is 111313121312.

213121313111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74240381 + ... + 77057619.

It is an arithmetic number, because the mean of its divisors is an integer number (2269413595800).

Almost surely, 2^{213121313111000} is an apocalyptic number.

213121313111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213121313111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290484940262400).

213121313111000 is an abundant number, since it is smaller than the sum of its proper divisors (367848567413800).

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

213121313111000 is a wasteful number, since it uses less digits than its factorization.

213121313111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817475 (or 2817461 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 213121313111000 its reverse (111313121312), we get a palindrome (213232626232312).

The spelling of 213121313111000 in words is "two hundred thirteen trillion, one hundred twenty-one billion, three hundred thirteen million, one hundred eleven thousand".