101513768742277 has 2 divisors, whose sum is σ = 101513768742278. Its totient is φ = 101513768742276.

The previous prime is 101513768742259. The next prime is 101513768742307. The reversal of 101513768742277 is 772247867315101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83954869710721 + 17558899031556 = 9162689^2 + 4190334^2 .

It is a cyclic number.

It is not a de Polignac number, because 101513768742277 - 2²³ = 101513760353669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101513768742227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50756884371138 + 50756884371139.

It is an arithmetic number, because the mean of its divisors is an integer number (50756884371139).

Almost surely, 2^{101513768742277} is an apocalyptic number.

It is an amenable number.

101513768742277 is a deficient number, since it is larger than the sum of its proper divisors (1).

101513768742277 is an equidigital number, since it uses as much as digits as its factorization.

101513768742277 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27659520, while the sum is 61.

The spelling of 101513768742277 in words is "one hundred one trillion, five hundred thirteen billion, seven hundred sixty-eight million, seven hundred forty-two thousand, two hundred seventy-seven".