2013010002 has 64 divisors (see below), whose sum is σ = 4828896000. Its totient is φ = 619686144.

The previous prime is 2013009991. The next prime is 2013010003. The reversal of 2013010002 is 2000103102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2013010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8074 + ... + 63962.

It is an arithmetic number, because the mean of its divisors is an integer number (75451500).

Almost surely, 2^2013010002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414448000).

2013010002 is an abundant number, since it is smaller than the sum of its proper divisors (2815885998).

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

2013010002 is a wasteful number, since it uses less digits than its factorization.

2013010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55952 (or 55946 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2013010002 is about 44866.5800122987. The cubic root of 2013010002 is about 1262.6470767059.

Adding to 2013010002 its reverse (2000103102), we get a palindrome (4013113104).

The spelling of 2013010002 in words is "two billion, thirteen million, ten thousand, two".