10001002313 has 4 divisors (see below), whose sum is σ = 10001352960. Its totient is φ = 10000651668.

The previous prime is 10001002309. The next prime is 10001002327. The reversal of 10001002313 is 31320010001.

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.

It is a cyclic number.

It is not a de Polignac number, because 10001002313 - 2² = 10001002309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001002294 and 10001002303.

It is not an unprimeable number, because it can be changed into a prime (10001002343) 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, 128345 + ... + 190982.

It is an arithmetic number, because the mean of its divisors is an integer number (2500338240).

Almost surely, 2^10001002313 is an apocalyptic number.

It is an amenable number.

10001002313 is a deficient number, since it is larger than the sum of its proper divisors (350647).

10001002313 is an equidigital number, since it uses as much as digits as its factorization.

10001002313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350646.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10001002313 its reverse (31320010001), we get a palindrome (41321012314).

The spelling of 10001002313 in words is "ten billion, one million, two thousand, three hundred thirteen".