111257661324913 has 2 divisors, whose sum is σ = 111257661324914. Its totient is φ = 111257661324912.

The previous prime is 111257661324857. The next prime is 111257661324947. The reversal of 111257661324913 is 319423166752111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89969246684944 + 21288414639969 = 9485212^2 + 4613937^2 .

It is a cyclic number.

It is not a de Polignac number, because 111257661324913 - 2²¹ = 111257659227761 is a prime.

It is not a weakly prime, because it can be changed into another prime (111257661324973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55628830662456 + 55628830662457.

It is an arithmetic number, because the mean of its divisors is an integer number (55628830662457).

Almost surely, 2^{111257661324913} is an apocalyptic number.

It is an amenable number.

111257661324913 is a deficient number, since it is larger than the sum of its proper divisors (1).

111257661324913 is an equidigital number, since it uses as much as digits as its factorization.

111257661324913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1632960, while the sum is 52.

The spelling of 111257661324913 in words is "one hundred eleven trillion, two hundred fifty-seven billion, six hundred sixty-one million, three hundred twenty-four thousand, nine hundred thirteen".