101032104113 has 2 divisors, whose sum is σ = 101032104114. Its totient is φ = 101032104112.

The previous prime is 101032104073. The next prime is 101032104157. The reversal of 101032104113 is 311401230101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100928206864 + 103897249 = 317692^2 + 10193^2 .

It is a cyclic number.

It is not a de Polignac number, because 101032104113 - 2⁶ = 101032104049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101032104091 and 101032104100.

It is not a weakly prime, because it can be changed into another prime (101032101113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516052056 + 50516052057.

It is an arithmetic number, because the mean of its divisors is an integer number (50516052057).

Almost surely, 2^101032104113 is an apocalyptic number.

It is an amenable number.

101032104113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101032104113 is an equidigital number, since it uses as much as digits as its factorization.

101032104113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101032104113 its reverse (311401230101), we get a palindrome (412433334214).

The spelling of 101032104113 in words is "one hundred one billion, thirty-two million, one hundred four thousand, one hundred thirteen".