10013121313 has 4 divisors (see below), whose sum is σ = 10783361428. Its totient is φ = 9242881200.

The previous prime is 10013121299. The next prime is 10013121331. The reversal of 10013121313 is 31312131001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31312131001 = 1583 ⋅19780247.

It can be written as a sum of positive squares in 2 ways, for example, as 543495969 + 9469625344 = 23313^2 + 97312^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013121313 - 2²⁵ = 9979566881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10013121373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 385120038 + ... + 385120063.

It is an arithmetic number, because the mean of its divisors is an integer number (2695840357).

Almost surely, 2^10013121313 is an apocalyptic number.

10013121313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10013121313 is a deficient number, since it is larger than the sum of its proper divisors (770240115).

10013121313 is an equidigital number, since it uses as much as digits as its factorization.

10013121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770240114.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10013121313 its reverse (31312131001), we get a palindrome (41325252314).

The spelling of 10013121313 in words is "ten billion, thirteen million, one hundred twenty-one thousand, three hundred thirteen".