213111303111312 has 80 divisors (see below), whose sum is σ = 569534807856000. Its totient is φ = 68585953508352.

The previous prime is 213111303111281. The next prime is 213111303111353.

213111303111312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213111303111312² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58948389 + ... + 62459067.

It is an arithmetic number, because the mean of its divisors is an integer number (7119185098200).

Almost surely, 2^{213111303111312} is an apocalyptic number.

It is an amenable number.

213111303111312 is an abundant number, since it is smaller than the sum of its proper divisors (356423504744688).

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

213111303111312 is a wasteful number, since it uses less digits than its factorization.

213111303111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554328 (or 3554322 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

It can be divided in two parts, 21311130 and 3111312, that added together give a palindrome (24422442).

The spelling of 213111303111312 in words is "two hundred thirteen trillion, one hundred eleven billion, three hundred three million, one hundred eleven thousand, three hundred twelve".