13001032013 has 8 divisors (see below), whose sum is σ = 13766833080. Its totient is φ = 12235345920.

The previous prime is 13001031959. The next prime is 13001032019. The reversal of 13001032013 is 31023010031.

It can be written as a sum of positive squares in 4 ways, for example, as 7313157289 + 5687874724 = 85517^2 + 75418^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13001032013 - 2¹⁸ = 13000769869 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 (13001032019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337523 + ... + 374063.

It is an arithmetic number, because the mean of its divisors is an integer number (1720854135).

Almost surely, 2^13001032013 is an apocalyptic number.

It is an amenable number.

13001032013 is a deficient number, since it is larger than the sum of its proper divisors (765801067).

13001032013 is a wasteful number, since it uses less digits than its factorization.

13001032013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57487.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13001032013 its reverse (31023010031), we get a palindrome (44024042044).

The spelling of 13001032013 in words is "thirteen billion, one million, thirty-two thousand, thirteen".