101610522510313 has 2 divisors, whose sum is σ = 101610522510314. Its totient is φ = 101610522510312.

The previous prime is 101610522510227. The next prime is 101610522510317. The reversal of 101610522510313 is 313015225016101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70801672983129 + 30808849527184 = 8414373^2 + 5550572^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101610522510313 is a prime.

It is not a weakly prime, because it can be changed into another prime (101610522510317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50805261255156 + 50805261255157.

It is an arithmetic number, because the mean of its divisors is an integer number (50805261255157).

Almost surely, 2^{101610522510313} is an apocalyptic number.

It is an amenable number.

101610522510313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101610522510313 is an equidigital number, since it uses as much as digits as its factorization.

101610522510313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 31.

Adding to 101610522510313 its reverse (313015225016101), we get a palindrome (414625747526414).

The spelling of 101610522510313 in words is "one hundred one trillion, six hundred ten billion, five hundred twenty-two million, five hundred ten thousand, three hundred thirteen".