101111010009913 has 2 divisors, whose sum is σ = 101111010009914. Its totient is φ = 101111010009912.

The previous prime is 101111010009853. The next prime is 101111010010057. The reversal of 101111010009913 is 319900010111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64800358717689 + 36310651292224 = 8049867^2 + 6025832^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111010009913 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111010009313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555505004956 + 50555505004957.

It is an arithmetic number, because the mean of its divisors is an integer number (50555505004957).

Almost surely, 2^{101111010009913} is an apocalyptic number.

It is an amenable number.

101111010009913 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111010009913 is an equidigital number, since it uses as much as digits as its factorization.

101111010009913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 28.

The spelling of 101111010009913 in words is "one hundred one trillion, one hundred eleven billion, ten million, nine thousand, nine hundred thirteen".