10279824817013 has 2 divisors, whose sum is σ = 10279824817014. Its totient is φ = 10279824817012.

The previous prime is 10279824816953. The next prime is 10279824817027. The reversal of 10279824817013 is 31071842897201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9583346107204 + 696478709809 = 3095698^2 + 834553^2 .

It is a cyclic number.

It is not a de Polignac number, because 10279824817013 - 2⁶ = 10279824816949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10279824811013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5139912408506 + 5139912408507.

It is an arithmetic number, because the mean of its divisors is an integer number (5139912408507).

Almost surely, 2^{10279824817013} is an apocalyptic number.

It is an amenable number.

10279824817013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10279824817013 is an equidigital number, since it uses as much as digits as its factorization.

10279824817013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1354752, while the sum is 53.

The spelling of 10279824817013 in words is "ten trillion, two hundred seventy-nine billion, eight hundred twenty-four million, eight hundred seventeen thousand, thirteen".