10101310313 has 2 divisors, whose sum is σ = 10101310314. Its totient is φ = 10101310312.

The previous prime is 10101310301. The next prime is 10101310357. The reversal of 10101310313 is 31301310101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8450757184 + 1650553129 = 91928^2 + 40627^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101310313 - 2⁸ = 10101310057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101312313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050655156 + 5050655157.

It is an arithmetic number, because the mean of its divisors is an integer number (5050655157).

Almost surely, 2^10101310313 is an apocalyptic number.

It is an amenable number.

10101310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101310313 is an equidigital number, since it uses as much as digits as its factorization.

10101310313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10101310313 its reverse (31301310101), we get a palindrome (41402620414).

The spelling of 10101310313 in words is "ten billion, one hundred one million, three hundred ten thousand, three hundred thirteen".