10000312303013 has 2 divisors, whose sum is σ = 10000312303014. Its totient is φ = 10000312303012.

The previous prime is 10000312302991. The next prime is 10000312303019. The reversal of 10000312303013 is 31030321300001.

10000312303013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8102260523809 + 1898051779204 = 2846447^2 + 1377698^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000312303013 - 2²² = 10000308108709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000312302982 and 10000312303000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000312303019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000156151506 + 5000156151507.

It is an arithmetic number, because the mean of its divisors is an integer number (5000156151507).

Almost surely, 2^{10000312303013} is an apocalyptic number.

It is an amenable number.

10000312303013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000312303013 is an equidigital number, since it uses as much as digits as its factorization.

10000312303013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10000312303013 its reverse (31030321300001), we get a palindrome (41030633603014).

The spelling of 10000312303013 in words is "ten trillion, three hundred twelve million, three hundred three thousand, thirteen".