2013132100013 has 4 divisors (see below), whose sum is σ = 2013364921440. Its totient is φ = 2012899278588.

The previous prime is 2013132099989. The next prime is 2013132100183. The reversal of 2013132100013 is 3100012313102.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2013132100013 - 2⁶ = 2013132099949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013132099964 and 2013132100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013132000013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116397743 + ... + 116415036.

It is an arithmetic number, because the mean of its divisors is an integer number (503341230360).

Almost surely, 2^{2013132100013} is an apocalyptic number.

It is an amenable number.

2013132100013 is a deficient number, since it is larger than the sum of its proper divisors (232821427).

2013132100013 is an equidigital number, since it uses as much as digits as its factorization.

2013132100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232821426.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2013132100013 its reverse (3100012313102), we get a palindrome (5113144413115).

The spelling of 2013132100013 in words is "two trillion, thirteen billion, one hundred thirty-two million, one hundred thousand, thirteen".