1023313013 has 4 divisors (see below), whose sum is σ = 1023403500. Its totient is φ = 1023222528.

The previous prime is 1023312967. The next prime is 1023313019. The reversal of 1023313013 is 3103133201.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 78180964 + 945132049 = 8842^2 + 30743^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1023313013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023312982 and 1023313000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023313019) 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, 25370 + ... + 51867.

It is an arithmetic number, because the mean of its divisors is an integer number (255850875).

Almost surely, 2^1023313013 is an apocalyptic number.

It is an amenable number.

1023313013 is a deficient number, since it is larger than the sum of its proper divisors (90487).

1023313013 is an equidigital number, since it uses as much as digits as its factorization.

1023313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90486.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1023313013 is about 31989.2640271701. The cubic root of 1023313013 is about 1007.7113860055.

Adding to 1023313013 its reverse (3103133201), we get a palindrome (4126446214).

The spelling of 1023313013 in words is "one billion, twenty-three million, three hundred thirteen thousand, thirteen".