2013119136 has 192 divisors, whose sum is σ = 6848352000. Its totient is φ = 575092224.

The previous prime is 2013119123. The next prime is 2013119153. The reversal of 2013119136 is 6319113102.

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

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, 292956 + ... + 299748.

It is an arithmetic number, because the mean of its divisors is an integer number (35668500).

Almost surely, 2^2013119136 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 2013119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424176000).

2013119136 is an abundant number, since it is smaller than the sum of its proper divisors (4835232864).

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

2013119136 is an equidigital number, since it uses as much as digits as its factorization.

2013119136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2013119136 is about 44867.7962017303. The cubic root of 2013119136 is about 1262.6698941511.

The spelling of 2013119136 in words is "two billion, thirteen million, one hundred nineteen thousand, one hundred thirty-six".