112013201609 has 2 divisors, whose sum is σ = 112013201610. Its totient is φ = 112013201608.

The previous prime is 112013201591. The next prime is 112013201627. The reversal of 112013201609 is 906102310211.

It is a balanced prime because it is at equal distance from previous prime (112013201591) and next prime (112013201627).

It can be written as a sum of positive squares in only one way, i.e., 64762615225 + 47250586384 = 254485^2 + 217372^2 .

It is a cyclic number.

It is not a de Polignac number, because 112013201609 - 2²⁸ = 111744766153 is a prime.

It is a super-3 number, since 3×112013201609³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (112013201639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56006600804 + 56006600805.

It is an arithmetic number, because the mean of its divisors is an integer number (56006600805).

Almost surely, 2^112013201609 is an apocalyptic number.

It is an amenable number.

112013201609 is a deficient number, since it is larger than the sum of its proper divisors (1).

112013201609 is an equidigital number, since it uses as much as digits as its factorization.

112013201609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 112013201609 in words is "one hundred twelve billion, thirteen million, two hundred one thousand, six hundred nine".