112624013 has 2 divisors, whose sum is σ = 112624014. Its totient is φ = 112624012.

The previous prime is 112623991. The next prime is 112624033. The reversal of 112624013 is 310426211.

It is an a-pointer prime, because the next prime (112624033) can be obtained adding 112624013 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108222409 + 4401604 = 10403^2 + 2098^2 .

It is a cyclic number.

It is not a de Polignac number, because 112624013 - 2⁶ = 112623949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112624033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56312006 + 56312007.

It is an arithmetic number, because the mean of its divisors is an integer number (56312007).

Almost surely, 2^112624013 is an apocalyptic number.

It is an amenable number.

112624013 is a deficient number, since it is larger than the sum of its proper divisors (1).

112624013 is an equidigital number, since it uses as much as digits as its factorization.

112624013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 112624013 is about 10612.4461364946. The cubic root of 112624013 is about 482.9220097346.

The spelling of 112624013 in words is "one hundred twelve million, six hundred twenty-four thousand, thirteen".