101000101110113 has 2 divisors, whose sum is σ = 101000101110114. Its totient is φ = 101000101110112.

The previous prime is 101000101110053. The next prime is 101000101110119. The reversal of 101000101110113 is 311011101000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100186626992929 + 813474117184 = 10009327^2 + 901928^2 .

It is an emirp because it is prime and its reverse (311011101000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000101110113 - 2⁶ = 101000101110049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000101110094 and 101000101110103.

It is not a weakly prime, because it can be changed into another prime (101000101110119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050555056 + 50500050555057.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050555057).

Almost surely, 2^{101000101110113} is an apocalyptic number.

It is an amenable number.

101000101110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101110113 is an equidigital number, since it uses as much as digits as its factorization.

101000101110113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 101000101110113 its reverse (311011101000101), we get a palindrome (412011202110214).

The spelling of 101000101110113 in words is "one hundred one trillion, one hundred one million, one hundred ten thousand, one hundred thirteen".