13102033131013 has 8 divisors (see below), whose sum is σ = 13555864827000. Its totient is φ = 12648337265088.

The previous prime is 13102033130891. The next prime is 13102033131049. The reversal of 13102033131013 is 31013133020131.

13102033131013 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 72897444 + 13101960233569 = 8538^2 + 3619663^2 .

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 13102033131013 - 2¹⁷ = 13102032999941 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 (13102033131713) 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, 33761238 + ... + 34147111.

It is an arithmetic number, because the mean of its divisors is an integer number (1694483103375).

Almost surely, 2^{13102033131013} is an apocalyptic number.

It is an amenable number.

13102033131013 is a deficient number, since it is larger than the sum of its proper divisors (453831695987).

13102033131013 is an equidigital number, since it uses as much as digits as its factorization.

13102033131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67915031.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13102033131013 its reverse (31013133020131), we get a palindrome (44115166151144).

The spelling of 13102033131013 in words is "thirteen trillion, one hundred two billion, thirty-three million, one hundred thirty-one thousand, thirteen".