10002313313 has 2 divisors, whose sum is σ = 10002313314. Its totient is φ = 10002313312.

The previous prime is 10002313309. The next prime is 10002313351. The reversal of 10002313313 is 31331320001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5674910224 + 4327403089 = 75332^2 + 65783^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002313313 - 2² = 10002313309 is a prime.

It is a super-2 number, since 2×10002313313² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002313291 and 10002313300.

It is not a weakly prime, because it can be changed into another prime (10002313213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001156656 + 5001156657.

It is an arithmetic number, because the mean of its divisors is an integer number (5001156657).

Almost surely, 2^10002313313 is an apocalyptic number.

It is an amenable number.

10002313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002313313 is an equidigital number, since it uses as much as digits as its factorization.

10002313313 is an evil number, because the sum of its binary digits is even.

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

Adding to 10002313313 its reverse (31331320001), we get a palindrome (41333633314).

The spelling of 10002313313 in words is "ten billion, two million, three hundred thirteen thousand, three hundred thirteen".