213110242011312 has 80 divisors (see below), whose sum is σ = 589997332872960. Its totient is φ = 66111755440896.

The previous prime is 213110242011301. The next prime is 213110242011343.

213110242011312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213110242011312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2608535362 + ... + 2608617057.

It is an arithmetic number, because the mean of its divisors is an integer number (7374966660912).

Almost surely, 2^{213110242011312} is an apocalyptic number.

It is an amenable number.

213110242011312 is an abundant number, since it is smaller than the sum of its proper divisors (376887090861648).

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

213110242011312 is a wasteful number, since it uses less digits than its factorization.

213110242011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217152490 (or 5217152484 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 213110242011312 in words is "two hundred thirteen trillion, one hundred ten billion, two hundred forty-two million, eleven thousand, three hundred twelve".