2013130322001 has 24 divisors (see below), whose sum is σ = 2994212389896. Its totient is φ = 1302568796160.

The previous prime is 2013130321991. The next prime is 2013130322003. The reversal of 2013130322001 is 1002230313102.

It can be written as a sum of positive squares in 4 ways, for example, as 24988021776 + 1988142300225 = 158076^2 + 1410015^2 .

It is not a de Polignac number, because 2013130322001 - 2¹⁹ = 2013129797713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013130322003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14062560 + ... + 14204993.

It is an arithmetic number, because the mean of its divisors is an integer number (124758849579).

Almost surely, 2^{2013130322001} is an apocalyptic number.

It is an amenable number.

2013130322001 is a deficient number, since it is larger than the sum of its proper divisors (981082067895).

2013130322001 is a wasteful number, since it uses less digits than its factorization.

2013130322001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28267793 (or 28267790 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2013130322001 its reverse (1002230313102), we get a palindrome (3015360635103).

The spelling of 2013130322001 in words is "two trillion, thirteen billion, one hundred thirty million, three hundred twenty-two thousand, one".