13120003013 has 8 divisors (see below), whose sum is σ = 14616449400. Its totient is φ = 11693158848.

The previous prime is 13120003003. The next prime is 13120003019. The reversal of 13120003013 is 31030002131.

It can be written as a sum of positive squares in 4 ways, for example, as 146337409 + 12973665604 = 12097^2 + 113902^2 .

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 13120003013 - 2¹⁸ = 13119740869 is a prime.

It is a super-2 number, since 2×13120003013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120003019) 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, 17400158 + ... + 17400911.

It is an arithmetic number, because the mean of its divisors is an integer number (1827056175).

Almost surely, 2^13120003013 is an apocalyptic number.

13120003013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13120003013 is a deficient number, since it is larger than the sum of its proper divisors (1496446387).

13120003013 is a wasteful number, since it uses less digits than its factorization.

13120003013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34801111.

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

Adding to 13120003013 its reverse (31030002131), we get a palindrome (44150005144).

The spelling of 13120003013 in words is "thirteen billion, one hundred twenty million, three thousand, thirteen".