2113331241312 has 576 divisors, whose sum is σ = 6592422380544. Its totient is φ = 665142865920.

The previous prime is 2113331241277. The next prime is 2113331241317. The reversal of 2113331241312 is 2131421333112.

2113331241312 is a `hidden beast` number, since 2 + 1 + 1 + 33 + 312 + 4 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113331241317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1771442188 + ... + 1771443380.

It is an arithmetic number, because the mean of its divisors is an integer number (11445177744).

Almost surely, 2^{2113331241312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113331241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296211190272).

2113331241312 is an abundant number, since it is smaller than the sum of its proper divisors (4479091139232).

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

2113331241312 is a wasteful number, since it uses less digits than its factorization.

2113331241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1413 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 2113331241312 its reverse (2131421333112), we get a palindrome (4244752574424).

The spelling of 2113331241312 in words is "two trillion, one hundred thirteen billion, three hundred thirty-one million, two hundred forty-one thousand, three hundred twelve".