13301010100313 has 6 divisors (see below), whose sum is σ = 14402868925374. Its totient is φ = 12277855477056.

The previous prime is 13301010100309. The next prime is 13301010100361. The reversal of 13301010100313 is 31300101010331.

13301010100313 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 3 ways, for example, as 33910485904 + 13267099614409 = 184148^2 + 3642403^2 .

It is not a de Polignac number, because 13301010100313 - 2² = 13301010100309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13301010100291 and 13301010100300.

It is not an unprimeable number, because it can be changed into a prime (13301010100303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39352100720 + ... + 39352101057.

It is an arithmetic number, because the mean of its divisors is an integer number (2400478154229).

Almost surely, 2^{13301010100313} is an apocalyptic number.

13301010100313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13301010100313 is a deficient number, since it is larger than the sum of its proper divisors (1101858825061).

13301010100313 is an equidigital number, since it uses as much as digits as its factorization.

13301010100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78704201803 (or 78704201790 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13301010100313 its reverse (31300101010331), we get a palindrome (44601111110644).

The spelling of 13301010100313 in words is "thirteen trillion, three hundred one billion, ten million, one hundred thousand, three hundred thirteen".