101111111001113 has 2 divisors, whose sum is σ = 101111111001114. Its totient is φ = 101111111001112.

The previous prime is 101111111001031. The next prime is 101111111001151. The reversal of 101111111001113 is 311100111111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93672820254784 + 7438290746329 = 9678472^2 + 2727323^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111111001113 - 2⁸ = 101111111000857 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111111001193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555500556 + 50555555500557.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555500557).

Almost surely, 2^{101111111001113} is an apocalyptic number.

It is an amenable number.

101111111001113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111111001113 is an equidigital number, since it uses as much as digits as its factorization.

101111111001113 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 14.

Adding to 101111111001113 its reverse (311100111111101), we get a palindrome (412211222112214).

The spelling of 101111111001113 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one thousand, one hundred thirteen".