2013112200001 has 24 divisors (see below), whose sum is σ = 2481621022440. Its totient is φ = 1625389113600.

The previous prime is 2013112199981. The next prime is 2013112200097. The reversal of 2013112200001 is 1000022113102.

It can be written as a sum of positive squares in 4 ways, for example, as 183047065600 + 1830065134401 = 427840^2 + 1352799^2 .

It is not a de Polignac number, because 2013112200001 - 2²¹ = 2013110102849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013112200101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17218410 + ... + 17334931.

It is an arithmetic number, because the mean of its divisors is an integer number (103400875935).

Almost surely, 2^{2013112200001} is an apocalyptic number.

It is an amenable number.

2013112200001 is a deficient number, since it is larger than the sum of its proper divisors (468508822439).

2013112200001 is a wasteful number, since it uses less digits than its factorization.

2013112200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34553425 (or 34553418 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2013112200001 its reverse (1000022113102), we get a palindrome (3013134313103).

The spelling of 2013112200001 in words is "two trillion, thirteen billion, one hundred twelve million, two hundred thousand, one".