13101310210313 has 32 divisors (see below), whose sum is σ = 15665892026400. Its totient is φ = 10839102898176.

The previous prime is 13101310210301. The next prime is 13101310210319. The reversal of 13101310210313 is 31301201310131.

13101310210313 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 16 ways, for example, as 2905020265744 + 10196289944569 = 1704412^2 + 3193163^2 .

It is not a de Polignac number, because 13101310210313 - 2⁴ = 13101310210297 is a prime.

It is a super-3 number, since 3×13101310210313³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101310210319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13533548 + ... + 14469261.

It is an arithmetic number, because the mean of its divisors is an integer number (489559125825).

Almost surely, 2^{13101310210313} is an apocalyptic number.

13101310210313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13101310210313 is a deficient number, since it is larger than the sum of its proper divisors (2564581816087).

13101310210313 is a wasteful number, since it uses less digits than its factorization.

13101310210313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28002941.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13101310210313 its reverse (31301201310131), we get a palindrome (44402511520444).

The spelling of 13101310210313 in words is "thirteen trillion, one hundred one billion, three hundred ten million, two hundred ten thousand, three hundred thirteen".