13033331012013 has 16 divisors (see below), whose sum is σ = 18796969442496. Its totient is φ = 7985178737280.

The previous prime is 13033331011913. The next prime is 13033331012047. The reversal of 13033331012013 is 31021013333031.

It is not a de Polignac number, because 13033331012013 - 2¹⁰ = 13033331010989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033331012813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736088008 + ... + 736105713.

It is an arithmetic number, because the mean of its divisors is an integer number (1174810590156).

Almost surely, 2^{13033331012013} is an apocalyptic number.

13033331012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13033331012013 is a deficient number, since it is larger than the sum of its proper divisors (5763638430483).

13033331012013 is a wasteful number, since it uses less digits than its factorization.

13033331012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472193964.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13033331012013 its reverse (31021013333031), we get a palindrome (44054344345044).

The spelling of 13033331012013 in words is "thirteen trillion, thirty-three billion, three hundred thirty-one million, twelve thousand, thirteen".