10001233332313 has 2 divisors, whose sum is σ = 10001233332314. Its totient is φ = 10001233332312.

The previous prime is 10001233332289. The next prime is 10001233332359. The reversal of 10001233332313 is 31323333210001.

10001233332313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7904436659289 + 2096796673024 = 2811483^2 + 1448032^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001233332313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001233332383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000616666156 + 5000616666157.

It is an arithmetic number, because the mean of its divisors is an integer number (5000616666157).

Almost surely, 2^{10001233332313} is an apocalyptic number.

It is an amenable number.

10001233332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001233332313 is an equidigital number, since it uses as much as digits as its factorization.

10001233332313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 10001233332313 its reverse (31323333210001), we get a palindrome (41324566542314).

The spelling of 10001233332313 in words is "ten trillion, one billion, two hundred thirty-three million, three hundred thirty-two thousand, three hundred thirteen".