2013030020013 has 32 divisors (see below), whose sum is σ = 2846406251520. Its totient is φ = 1261087322880.

The previous prime is 2013030019933. The next prime is 2013030020017. The reversal of 2013030020013 is 3100200303102.

It is not a de Polignac number, because 2013030020013 - 2²⁶ = 2012962911149 is a prime.

It is a super-2 number, since 2×2013030020013² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013030019974 and 2013030020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013030020017) 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 31 ways as a sum of consecutive naturals, for example, 102911128 + ... + 102930686.

It is an arithmetic number, because the mean of its divisors is an integer number (88950195360).

Almost surely, 2^{2013030020013} is an apocalyptic number.

It is an amenable number.

2013030020013 is a deficient number, since it is larger than the sum of its proper divisors (833376231507).

2013030020013 is a wasteful number, since it uses less digits than its factorization.

2013030020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22657.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2013030020013 its reverse (3100200303102), we get a palindrome (5113230323115).

The spelling of 2013030020013 in words is "two trillion, thirteen billion, thirty million, twenty thousand, thirteen".