111564118013 has 2 divisors, whose sum is σ = 111564118014. Its totient is φ = 111564118012.

The previous prime is 111564117967. The next prime is 111564118019. The reversal of 111564118013 is 310811465111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111413761369 + 150356644 = 333787^2 + 12262^2 .

It is a cyclic number.

It is not a de Polignac number, because 111564118013 - 2¹² = 111564113917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111564118019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55782059006 + 55782059007.

It is an arithmetic number, because the mean of its divisors is an integer number (55782059007).

Almost surely, 2^111564118013 is an apocalyptic number.

It is an amenable number.

111564118013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111564118013 is an equidigital number, since it uses as much as digits as its factorization.

111564118013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 32.

The spelling of 111564118013 in words is "one hundred eleven billion, five hundred sixty-four million, one hundred eighteen thousand, thirteen".