105713458813 has 2 divisors, whose sum is σ = 105713458814. Its totient is φ = 105713458812.

The previous prime is 105713458811. The next prime is 105713458861. The reversal of 105713458813 is 318854317501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55338798564 + 50374660249 = 235242^2 + 224443^2 .

It is a cyclic number.

It is not a de Polignac number, because 105713458813 - 2¹ = 105713458811 is a prime.

It is a super-2 number, since 2×105713458813² (a number of 23 digits) contains 22 as substring.

Together with 105713458811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105713458811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52856729406 + 52856729407.

It is an arithmetic number, because the mean of its divisors is an integer number (52856729407).

Almost surely, 2^105713458813 is an apocalyptic number.

It is an amenable number.

105713458813 is a deficient number, since it is larger than the sum of its proper divisors (1).

105713458813 is an equidigital number, since it uses as much as digits as its factorization.

105713458813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 105713458813 in words is "one hundred five billion, seven hundred thirteen million, four hundred fifty-eight thousand, eight hundred thirteen".