2013157120 has 144 divisors (see below), whose sum is σ = 5222992320. Its totient is φ = 739049472.

The previous prime is 2013157093. The next prime is 2013157121. The reversal of 2013157120 is 217513102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2013157091 and 2013157100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013157121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5607501 + ... + 5607859.

It is an arithmetic number, because the mean of its divisors is an integer number (36270780).

Almost surely, 2^2013157120 is an apocalyptic number.

2013157120 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 2013157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611496160).

2013157120 is an abundant number, since it is smaller than the sum of its proper divisors (3209835200).

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

2013157120 is a wasteful number, since it uses less digits than its factorization.

2013157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 2013157120 is about 44868.2194877399. The cubic root of 2013157120 is about 1262.6778355508.

The spelling of 2013157120 in words is "two billion, thirteen million, one hundred fifty-seven thousand, one hundred twenty".