10301023033313 has 2 divisors, whose sum is σ = 10301023033314. Its totient is φ = 10301023033312.

The previous prime is 10301023033277. The next prime is 10301023033333. The reversal of 10301023033313 is 31333032010301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6298754711824 + 4002268321489 = 2509732^2 + 2000567^2 .

It is a cyclic number.

It is not a de Polignac number, because 10301023033313 - 2¹⁶ = 10301022967777 is a prime.

It is a super-2 number, since 2×10301023033313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10301023033333) 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, 5150511516656 + 5150511516657.

It is an arithmetic number, because the mean of its divisors is an integer number (5150511516657).

Almost surely, 2^{10301023033313} is an apocalyptic number.

It is an amenable number.

10301023033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301023033313 is an equidigital number, since it uses as much as digits as its factorization.

10301023033313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 10301023033313 its reverse (31333032010301), we get a palindrome (41634055043614).

The spelling of 10301023033313 in words is "ten trillion, three hundred one billion, twenty-three million, thirty-three thousand, three hundred thirteen".