13000012013 has 4 divisors (see below), whose sum is σ = 13764718620. Its totient is φ = 12235305408.

The previous prime is 13000012007. The next prime is 13000012043. The reversal of 13000012013 is 31021000031.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31021000031 = 7 ⋅4431571433.

It can be written as a sum of positive squares in 2 ways, for example, as 7743472009 + 5256540004 = 87997^2 + 72502^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000012013 - 2²⁶ = 12932903149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000011985 and 13000012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000012043) 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, 382353278 + ... + 382353311.

It is an arithmetic number, because the mean of its divisors is an integer number (3441179655).

Almost surely, 2^13000012013 is an apocalyptic number.

It is an amenable number.

13000012013 is a deficient number, since it is larger than the sum of its proper divisors (764706607).

13000012013 is an equidigital number, since it uses as much as digits as its factorization.

13000012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764706606.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13000012013 its reverse (31021000031), we get a palindrome (44021012044).

The spelling of 13000012013 in words is "thirteen billion, twelve thousand, thirteen".