10000120313 has 2 divisors, whose sum is σ = 10000120314. Its totient is φ = 10000120312.

The previous prime is 10000120303. The next prime is 10000120327. The reversal of 10000120313 is 31302100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5812995049 + 4187125264 = 76243^2 + 64708^2 .

It is an emirp because it is prime and its reverse (31302100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000120313 - 2¹⁴ = 10000103929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000120294 and 10000120303.

It is not a weakly prime, because it can be changed into another prime (10000120303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000060156 + 5000060157.

It is an arithmetic number, because the mean of its divisors is an integer number (5000060157).

Almost surely, 2^10000120313 is an apocalyptic number.

It is an amenable number.

10000120313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000120313 is an equidigital number, since it uses as much as digits as its factorization.

10000120313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10000120313 its reverse (31302100001), we get a palindrome (41302220314).

The spelling of 10000120313 in words is "ten billion, one hundred twenty thousand, three hundred thirteen".