101693135113 has 2 divisors, whose sum is σ = 101693135114. Its totient is φ = 101693135112.

The previous prime is 101693135101. The next prime is 101693135153. The reversal of 101693135113 is 311531396101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93139104969 + 8554030144 = 305187^2 + 92488^2 .

It is a cyclic number.

It is not a de Polignac number, because 101693135113 - 2⁹ = 101693134601 is a prime.

It is a super-2 number, since 2×101693135113² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101693135153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50846567556 + 50846567557.

It is an arithmetic number, because the mean of its divisors is an integer number (50846567557).

Almost surely, 2^101693135113 is an apocalyptic number.

It is an amenable number.

101693135113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101693135113 is an equidigital number, since it uses as much as digits as its factorization.

101693135113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 34.

The spelling of 101693135113 in words is "one hundred one billion, six hundred ninety-three million, one hundred thirty-five thousand, one hundred thirteen".