10031320300013 has 2 divisors, whose sum is σ = 10031320300014. Its totient is φ = 10031320300012.

The previous prime is 10031320300007. The next prime is 10031320300091. The reversal of 10031320300013 is 31000302313001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8782462644484 + 1248857655529 = 2963522^2 + 1117523^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031320300013 - 2¹⁶ = 10031320234477 is a prime.

It is a super-2 number, since 2×10031320300013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10031320299964 and 10031320300000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031320300913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015660150006 + 5015660150007.

It is an arithmetic number, because the mean of its divisors is an integer number (5015660150007).

Almost surely, 2^{10031320300013} is an apocalyptic number.

It is an amenable number.

10031320300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031320300013 is an equidigital number, since it uses as much as digits as its factorization.

10031320300013 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 10031320300013 its reverse (31000302313001), we get a palindrome (41031622613014).

The spelling of 10031320300013 in words is "ten trillion, thirty-one billion, three hundred twenty million, three hundred thousand, thirteen".