10077107713 has 2 divisors, whose sum is σ = 10077107714. Its totient is φ = 10077107712.

The previous prime is 10077107669. The next prime is 10077107741. The reversal of 10077107713 is 31770177001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6778558224 + 3298549489 = 82332^2 + 57433^2 .

It is a cyclic number.

It is not a de Polignac number, because 10077107713 - 2²⁹ = 9540236801 is a prime.

It is not a weakly prime, because it can be changed into another prime (10077107743) 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, 5038553856 + 5038553857.

It is an arithmetic number, because the mean of its divisors is an integer number (5038553857).

Almost surely, 2^10077107713 is an apocalyptic number.

It is an amenable number.

10077107713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10077107713 is an equidigital number, since it uses as much as digits as its factorization.

10077107713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7203, while the sum is 34.

The spelling of 10077107713 in words is "ten billion, seventy-seven million, one hundred seven thousand, seven hundred thirteen".