13001331013 has 4 divisors (see below), whose sum is σ = 14183270208. Its totient is φ = 11819391820.

The previous prime is 13001330987. The next prime is 13001331029. The reversal of 13001331013 is 31013310031.

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, and also an emirpimes, since its reverse is a distinct semiprime: 31013310031 = 11 ⋅2819391821.

It is a cyclic number.

It is not a de Polignac number, because 13001331013 - 2¹³ = 13001322821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001331313) 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, 590969581 + ... + 590969602.

It is an arithmetic number, because the mean of its divisors is an integer number (3545817552).

Almost surely, 2^13001331013 is an apocalyptic number.

It is an amenable number.

13001331013 is a deficient number, since it is larger than the sum of its proper divisors (1181939195).

13001331013 is a wasteful number, since it uses less digits than its factorization.

13001331013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181939194.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13001331013 its reverse (31013310031), we get a palindrome (44014641044).

The spelling of 13001331013 in words is "thirteen billion, one million, three hundred thirty-one thousand, thirteen".