10034140313 has 2 divisors, whose sum is σ = 10034140314. Its totient is φ = 10034140312.

The previous prime is 10034140279. The next prime is 10034140349. The reversal of 10034140313 is 31304143001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7755796489 + 2278343824 = 88067^2 + 47732^2 .

It is an emirp because it is prime and its reverse (31304143001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10034140313 - 2²⁸ = 9765704857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10034140373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017070156 + 5017070157.

It is an arithmetic number, because the mean of its divisors is an integer number (5017070157).

Almost surely, 2^10034140313 is an apocalyptic number.

It is an amenable number.

10034140313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034140313 is an equidigital number, since it uses as much as digits as its factorization.

10034140313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10034140313 its reverse (31304143001), we get a palindrome (41338283314).

The spelling of 10034140313 in words is "ten billion, thirty-four million, one hundred forty thousand, three hundred thirteen".