2013012301 has 8 divisors (see below), whose sum is σ = 2063388600. Its totient is φ = 1962696960.

The previous prime is 2013012289. The next prime is 2013012307. The reversal of 2013012301 is 1032103102.

It can be written as a sum of positive squares in 4 ways, for example, as 30536676 + 1982475625 = 5526^2 + 44525^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013012301 - 2⁷ = 2013012173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013012307) 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, 55705 + ... + 84433.

It is an arithmetic number, because the mean of its divisors is an integer number (257923575).

Almost surely, 2^2013012301 is an apocalyptic number.

It is an amenable number.

2013012301 is a deficient number, since it is larger than the sum of its proper divisors (50376299).

2013012301 is a wasteful number, since it uses less digits than its factorization.

2013012301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30479.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2013012301 is about 44866.6056326975. The cubic root of 2013012301 is about 1262.6475573832.

Adding to 2013012301 its reverse (1032103102), we get a palindrome (3045115403).

The spelling of 2013012301 in words is "two billion, thirteen million, twelve thousand, three hundred one".