213120031000 has 128 divisors (see below), whose sum is σ = 507540908160. Its totient is φ = 83740608000.

The previous prime is 213120030947. The next prime is 213120031027. The reversal of 213120031000 is 130021312.

213120031000 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 2×213120031000² (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 31 ways as a sum of consecutive naturals, for example, 58985194 + ... + 58988806.

It is an arithmetic number, because the mean of its divisors is an integer number (3965163345).

Almost surely, 2^213120031000 is an apocalyptic number.

213120031000 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 213120031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253770454080).

213120031000 is an abundant number, since it is smaller than the sum of its proper divisors (294420877160).

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

213120031000 is a wasteful number, since it uses less digits than its factorization.

213120031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 213120031000 its reverse (130021312), we get a palindrome (213250052312).

The spelling of 213120031000 in words is "two hundred thirteen billion, one hundred twenty million, thirty-one thousand".