101616086205913 has 2 divisors, whose sum is σ = 101616086205914. Its totient is φ = 101616086205912.

The previous prime is 101616086205859. The next prime is 101616086205923. The reversal of 101616086205913 is 319502680616101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75997020511129 + 25619065694784 = 8717627^2 + 5061528^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101616086205913 is a prime.

It is not a weakly prime, because it can be changed into another prime (101616086205923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50808043102956 + 50808043102957.

It is an arithmetic number, because the mean of its divisors is an integer number (50808043102957).

Almost surely, 2^{101616086205913} is an apocalyptic number.

It is an amenable number.

101616086205913 is a deficient number, since it is larger than the sum of its proper divisors (1).

101616086205913 is an equidigital number, since it uses as much as digits as its factorization.

101616086205913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 466560, while the sum is 49.

The spelling of 101616086205913 in words is "one hundred one trillion, six hundred sixteen billion, eighty-six million, two hundred five thousand, nine hundred thirteen".