13031212012013 has 8 divisors (see below), whose sum is σ = 14033695312056. Its totient is φ = 12028740480000.

The previous prime is 13031212011973. The next prime is 13031212012043. The reversal of 13031212012013 is 31021021213031.

It is a happy number.

13031212012013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73537507684 + 12957674504329 = 271178^2 + 3599677^2 .

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 13031212012013 - 2¹⁶ = 13031211946477 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031212012043) 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, 571388 + ... + 5137013.

It is an arithmetic number, because the mean of its divisors is an integer number (1754211914007).

Almost surely, 2^{13031212012013} is an apocalyptic number.

13031212012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13031212012013 is a deficient number, since it is larger than the sum of its proper divisors (1002483300043).

13031212012013 is a wasteful number, since it uses less digits than its factorization.

13031212012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884015.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13031212012013 its reverse (31021021213031), we get a palindrome (44052233225044).

The spelling of 13031212012013 in words is "thirteen trillion, thirty-one billion, two hundred twelve million, twelve thousand, thirteen".