2013112090080 has 3840 divisors, whose sum is σ = 9914183516160. Its totient is φ = 372650803200.

The previous prime is 2013112089979. The next prime is 2013112090117. The reversal of 2013112090080 is 800902113102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 25482431481 + ... + 25482431559.

It is an arithmetic number, because the mean of its divisors is an integer number (2581818624).

Almost surely, 2^{2013112090080} is an apocalyptic number.

2013112090080 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 2013112090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957091758080).

2013112090080 is an abundant number, since it is smaller than the sum of its proper divisors (7901071426080).

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

2013112090080 is a wasteful number, since it uses less digits than its factorization.

2013112090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 2013112090080 in words is "two trillion, thirteen billion, one hundred twelve million, ninety thousand, eighty".