2113042072152 has 256 divisors, whose sum is σ = 5851455966720. Its totient is φ = 630573465600.

The previous prime is 2113042072151. The next prime is 2113042072213. The reversal of 2113042072152 is 2512702403112.

It is a super-2 number, since 2×2113042072152² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113042072151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3662117688 + ... + 3662118264.

It is an arithmetic number, because the mean of its divisors is an integer number (22857249870).

Almost surely, 2^{2113042072152} is an apocalyptic number.

2113042072152 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 2113042072152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925727983360).

2113042072152 is an abundant number, since it is smaller than the sum of its proper divisors (3738413894568).

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

2113042072152 is a wasteful number, since it uses less digits than its factorization.

2113042072152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 2113042072152 its reverse (2512702403112), we get a palindrome (4625744475264).

The spelling of 2113042072152 in words is "two trillion, one hundred thirteen billion, forty-two million, seventy-two thousand, one hundred fifty-two".