111013300131193 has 2 divisors, whose sum is σ = 111013300131194. Its totient is φ = 111013300131192.

The previous prime is 111013300131179. The next prime is 111013300131199. The reversal of 111013300131193 is 391131003310111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102132590208489 + 8880709922704 = 10106067^2 + 2980052^2 .

It is a cyclic number.

It is not a de Polignac number, because 111013300131193 - 2³⁷ = 110875861177721 is a prime.

It is not a weakly prime, because it can be changed into another prime (111013300131199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506650065596 + 55506650065597.

It is an arithmetic number, because the mean of its divisors is an integer number (55506650065597).

Almost surely, 2^{111013300131193} is an apocalyptic number.

It is an amenable number.

111013300131193 is a deficient number, since it is larger than the sum of its proper divisors (1).

111013300131193 is an equidigital number, since it uses as much as digits as its factorization.

111013300131193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 28.

The spelling of 111013300131193 in words is "one hundred eleven trillion, thirteen billion, three hundred million, one hundred thirty-one thousand, one hundred ninety-three".