10402040020313 has 2 divisors, whose sum is σ = 10402040020314. Its totient is φ = 10402040020312.

The previous prime is 10402040020301. The next prime is 10402040020319. The reversal of 10402040020313 is 31302004020401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5385035842624 + 5017004177689 = 2320568^2 + 2239867^2 .

It is an emirp because it is prime and its reverse (31302004020401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10402040020313 - 2⁴⁰ = 9302528392537 is a prime.

It is not a weakly prime, because it can be changed into another prime (10402040020319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5201020010156 + 5201020010157.

It is an arithmetic number, because the mean of its divisors is an integer number (5201020010157).

Almost surely, 2^{10402040020313} is an apocalyptic number.

It is an amenable number.

10402040020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10402040020313 is an equidigital number, since it uses as much as digits as its factorization.

10402040020313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10402040020313 its reverse (31302004020401), we get a palindrome (41704044040714).

The spelling of 10402040020313 in words is "ten trillion, four hundred two billion, forty million, twenty thousand, three hundred thirteen".