213112313310000 has 800 divisors, whose sum is σ = 786237047608320. Its totient is φ = 49260496896000.

The previous prime is 213112313309999. The next prime is 213112313310037. The reversal of 213112313310000 is 13313211312.

It is a happy number.

213112313310000 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 2×213112313310000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2937053721 + ... + 2937126279.

Almost surely, 2^{213112313310000} is an apocalyptic number.

213112313310000 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 213112313310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393118523804160).

213112313310000 is an abundant number, since it is smaller than the sum of its proper divisors (573124734298320).

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

213112313310000 is a wasteful number, since it uses less digits than its factorization.

213112313310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73063 (or 73042 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 213112313310000 its reverse (13313211312), we get a palindrome (213125626521312).

The spelling of 213112313310000 in words is "two hundred thirteen trillion, one hundred twelve billion, three hundred thirteen million, three hundred ten thousand".