2013320122121 has 64 divisors (see below), whose sum is σ = 2649253478400. Its totient is φ = 1484204904000.

The previous prime is 2013320122117. The next prime is 2013320122139. The reversal of 2013320122121 is 1212210233102.

It is not a de Polignac number, because 2013320122121 - 2² = 2013320122117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013320122093 and 2013320122102.

It is not an unprimeable number, because it can be changed into a prime (2013320122111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102194330 + ... + 102214028.

It is an arithmetic number, because the mean of its divisors is an integer number (41394585600).

Almost surely, 2^{2013320122121} is an apocalyptic number.

It is an amenable number.

2013320122121 is a deficient number, since it is larger than the sum of its proper divisors (635933356279).

2013320122121 is a wasteful number, since it uses less digits than its factorization.

2013320122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20706.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2013320122121 its reverse (1212210233102), we get a palindrome (3225530355223).

The spelling of 2013320122121 in words is "two trillion, thirteen billion, three hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".