10301313032993 has 2 divisors, whose sum is σ = 10301313032994. Its totient is φ = 10301313032992.

The previous prime is 10301313032977. The next prime is 10301313033023. The reversal of 10301313032993 is 39923031310301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10147486702144 + 153826330849 = 3185512^2 + 392207^2 .

It is a cyclic number.

It is not a de Polignac number, because 10301313032993 - 2⁴ = 10301313032977 is a prime.

It is a super-2 number, since 2×10301313032993² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10301313062993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150656516496 + 5150656516497.

It is an arithmetic number, because the mean of its divisors is an integer number (5150656516497).

Almost surely, 2^{10301313032993} is an apocalyptic number.

It is an amenable number.

10301313032993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301313032993 is an equidigital number, since it uses as much as digits as its factorization.

10301313032993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 38.

The spelling of 10301313032993 in words is "ten trillion, three hundred one billion, three hundred thirteen million, thirty-two thousand, nine hundred ninety-three".