2113322137680 has 240 divisors, whose sum is σ = 7109460965376. Its totient is φ = 519069358080.

The previous prime is 2113322137673. The next prime is 2113322137681. The reversal of 2113322137680 is 867312233112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2113322137680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113322137681) 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, 18641649 + ... + 18754671.

Almost surely, 2^{2113322137680} is an apocalyptic number.

2113322137680 is a gapful number since it is divisible by the number (20) 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 2113322137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554730482688).

2113322137680 is an abundant number, since it is smaller than the sum of its proper divisors (4996138827696).

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

2113322137680 is a wasteful number, since it uses less digits than its factorization.

2113322137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113526 (or 113507 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 2113322137680 in words is "two trillion, one hundred thirteen billion, three hundred twenty-two million, one hundred thirty-seven thousand, six hundred eighty".