10002414313 has 2 divisors, whose sum is σ = 10002414314. Its totient is φ = 10002414312.

The previous prime is 10002414307. The next prime is 10002414329. The reversal of 10002414313 is 31341420001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7396516009 + 2605898304 = 86003^2 + 51048^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002414313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002414343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001207156 + 5001207157.

It is an arithmetic number, because the mean of its divisors is an integer number (5001207157).

Almost surely, 2^10002414313 is an apocalyptic number.

It is an amenable number.

10002414313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002414313 is an equidigital number, since it uses as much as digits as its factorization.

10002414313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10002414313 its reverse (31341420001), we get a palindrome (41343834314).

The spelling of 10002414313 in words is "ten billion, two million, four hundred fourteen thousand, three hundred thirteen".