1013001313 has 4 divisors (see below), whose sum is σ = 1013066928. Its totient is φ = 1012935700.

The previous prime is 1013001299. The next prime is 1013001317. The reversal of 1013001313 is 3131003101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 3131003101 = 17 ⋅184176653.

It is a cyclic number.

It is not a de Polignac number, because 1013001313 - 2¹⁷ = 1012870241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013001293 and 1013001302.

It is not an unprimeable number, because it can be changed into a prime (1013001317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4470 + ... + 45232.

It is an arithmetic number, because the mean of its divisors is an integer number (253266732).

Almost surely, 2^1013001313 is an apocalyptic number.

It is an amenable number.

1013001313 is a deficient number, since it is larger than the sum of its proper divisors (65615).

1013001313 is an equidigital number, since it uses as much as digits as its factorization.

1013001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65614.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1013001313 is about 31827.6815523846. The cubic root of 1013001313 is about 1004.3151239226.

Adding to 1013001313 its reverse (3131003101), we get a palindrome (4144004414).

The spelling of 1013001313 in words is "one billion, thirteen million, one thousand, three hundred thirteen".