101111010000113 has 2 divisors, whose sum is σ = 101111010000114. Its totient is φ = 101111010000112.

The previous prime is 101111010000071. The next prime is 101111010000239. The reversal of 101111010000113 is 311000010111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100629627970624 + 481382029489 = 10031432^2 + 693817^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111010000113 - 2¹⁶ = 101111009934577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111010000094 and 101111010000103.

It is not a weakly prime, because it can be changed into another prime (101111013000113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555505000056 + 50555505000057.

It is an arithmetic number, because the mean of its divisors is an integer number (50555505000057).

Almost surely, 2^{101111010000113} is an apocalyptic number.

It is an amenable number.

101111010000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111010000113 is an equidigital number, since it uses as much as digits as its factorization.

101111010000113 is an evil number, because the sum of its binary digits is even.

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

Adding to 101111010000113 its reverse (311000010111101), we get a palindrome (412111020111214).

The spelling of 101111010000113 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred thirteen", and thus it is an aban number.