10301112012313 has 2 divisors, whose sum is σ = 10301112012314. Its totient is φ = 10301112012312.

The previous prime is 10301112012287. The next prime is 10301112012319. The reversal of 10301112012313 is 31321021110301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8671629126169 + 1629482886144 = 2944763^2 + 1276512^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10301112012313 is a prime.

It is a super-2 number, since 2×10301112012313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10301112012319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150556006156 + 5150556006157.

It is an arithmetic number, because the mean of its divisors is an integer number (5150556006157).

Almost surely, 2^{10301112012313} is an apocalyptic number.

It is an amenable number.

10301112012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301112012313 is an equidigital number, since it uses as much as digits as its factorization.

10301112012313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10301112012313 its reverse (31321021110301), we get a palindrome (41622133122614).

The spelling of 10301112012313 in words is "ten trillion, three hundred one billion, one hundred twelve million, twelve thousand, three hundred thirteen".