2013120008 has 32 divisors (see below), whose sum is σ = 4094125560. Its totient is φ = 924241920.

The previous prime is 2013120007. The next prime is 2013120023. The reversal of 2013120008 is 8000213102.

It can be written as a sum of positive squares in 4 ways, for example, as 1892076004 + 121044004 = 43498^2 + 11002^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2013120007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174941 + ... + 186092.

Almost surely, 2^2013120008 is an apocalyptic number.

It is an amenable number.

2013120008 is an abundant number, since it is smaller than the sum of its proper divisors (2081005552).

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

2013120008 is a wasteful number, since it uses less digits than its factorization.

2013120008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361097 (or 361093 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2013120008 is about 44867.8059191666. The cubic root of 2013120008 is about 1262.6700764632.

The spelling of 2013120008 in words is "two billion, thirteen million, one hundred twenty thousand, eight".