102112013813 has 2 divisors, whose sum is σ = 102112013814. Its totient is φ = 102112013812.

The previous prime is 102112013807. The next prime is 102112013819. The reversal of 102112013813 is 318310211201.

It is a balanced prime because it is at equal distance from previous prime (102112013807) and next prime (102112013819).

It can be written as a sum of positive squares in only one way, i.e., 93640284049 + 8471729764 = 306007^2 + 92042^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112013813 - 2⁴ = 102112013797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112013819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056006906 + 51056006907.

It is an arithmetic number, because the mean of its divisors is an integer number (51056006907).

Almost surely, 2^102112013813 is an apocalyptic number.

It is an amenable number.

102112013813 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112013813 is an equidigital number, since it uses as much as digits as its factorization.

102112013813 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 23.

The spelling of 102112013813 in words is "one hundred two billion, one hundred twelve million, thirteen thousand, eight hundred thirteen".