213112040211312 has 240 divisors, whose sum is σ = 627646946003616. Its totient is φ = 62211891456000.

The previous prime is 213112040211311. The next prime is 213112040211337.

213112040211312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213112040211312² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112040211311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16795098 + ... + 26613894.

Almost surely, 2^{213112040211312} is an apocalyptic number.

213112040211312 is a gapful number since it is divisible by the number (22) 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 213112040211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313823473001808).

213112040211312 is an abundant number, since it is smaller than the sum of its proper divisors (414534905792304).

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

213112040211312 is a wasteful number, since it uses less digits than its factorization.

213112040211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9818968 (or 9818951 counting only the distinct ones).

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

The spelling of 213112040211312 in words is "two hundred thirteen trillion, one hundred twelve billion, forty million, two hundred eleven thousand, three hundred twelve".