2113314133112 has 128 divisors (see below), whose sum is σ = 4903354444800. Its totient is φ = 831503232000.

The previous prime is 2113314133097. The next prime is 2113314133169.

2113314133112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276644189 + ... + 276651827.

It is an arithmetic number, because the mean of its divisors is an integer number (38307456600).

Almost surely, 2^{2113314133112} 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 2113314133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451677222400).

2113314133112 is an abundant number, since it is smaller than the sum of its proper divisors (2790040311688).

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

2113314133112 is a wasteful number, since it uses less digits than its factorization.

2113314133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9677 (or 9673 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The spelling of 2113314133112 in words is "two trillion, one hundred thirteen billion, three hundred fourteen million, one hundred thirty-three thousand, one hundred twelve".