900111011110013 has 2 divisors, whose sum is σ = 900111011110014. Its totient is φ = 900111011110012.

The previous prime is 900111011109979. The next prime is 900111011110021. The reversal of 900111011110013 is 310011110111009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 831006422061124 + 69104589048889 = 28827182^2 + 8312917^2 .

It is a cyclic number.

It is not a de Polignac number, because 900111011110013 - 2⁸ = 900111011109757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (900111011160013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450055505555006 + 450055505555007.

It is an arithmetic number, because the mean of its divisors is an integer number (450055505555007).

Almost surely, 2^{900111011110013} is an apocalyptic number.

It is an amenable number.

900111011110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

900111011110013 is an equidigital number, since it uses as much as digits as its factorization.

900111011110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 20.

The spelling of 900111011110013 in words is "nine hundred trillion, one hundred eleven billion, eleven million, one hundred ten thousand, thirteen".