213100310000 has 100 divisors (see below), whose sum is σ = 517603676304. Its totient is φ = 84964800000.

The previous prime is 213100309993. The next prime is 213100310021. The reversal of 213100310000 is 13001312.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×213100310000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3075740 + ... + 3144260.

Almost surely, 2^213100310000 is an apocalyptic number.

213100310000 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 213100310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258801838152).

213100310000 is an abundant number, since it is smaller than the sum of its proper divisors (304503366304).

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

213100310000 is an equidigital number, since it uses as much as digits as its factorization.

213100310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68860 (or 68839 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 213100310000 its reverse (13001312), we get a palindrome (213113311312).

The spelling of 213100310000 in words is "two hundred thirteen billion, one hundred million, three hundred ten thousand".