10406912335013 has 2 divisors, whose sum is σ = 10406912335014. Its totient is φ = 10406912335012.

The previous prime is 10406912334893. The next prime is 10406912335033. The reversal of 10406912335013 is 31053321960401.

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., 10299369003169 + 107543331844 = 3209263^2 + 327938^2 .

It is a cyclic number.

It is not a de Polignac number, because 10406912335013 - 2¹⁴ = 10406912318629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10406912335033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203456167506 + 5203456167507.

It is an arithmetic number, because the mean of its divisors is an integer number (5203456167507).

Almost surely, 2^{10406912335013} is an apocalyptic number.

It is an amenable number.

10406912335013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406912335013 is an equidigital number, since it uses as much as digits as its factorization.

10406912335013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 10406912335013 in words is "ten trillion, four hundred six billion, nine hundred twelve million, three hundred thirty-five thousand, thirteen".