101313220310033 has 2 divisors, whose sum is σ = 101313220310034. Its totient is φ = 101313220310032.

The previous prime is 101313220310009. The next prime is 101313220310051. The reversal of 101313220310033 is 330013022313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90704728353409 + 10608491956624 = 9523903^2 + 3257068^2 .

It is an emirp because it is prime and its reverse (330013022313101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101313220310033 is a prime.

It is a super-2 number, since 2×101313220310033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101313220309990 and 101313220310008.

It is not a weakly prime, because it can be changed into another prime (101313220310083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656610155016 + 50656610155017.

It is an arithmetic number, because the mean of its divisors is an integer number (50656610155017).

Almost surely, 2^{101313220310033} is an apocalyptic number.

It is an amenable number.

101313220310033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101313220310033 is an equidigital number, since it uses as much as digits as its factorization.

101313220310033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 101313220310033 its reverse (330013022313101), we get a palindrome (431326242623134).

The spelling of 101313220310033 in words is "one hundred one trillion, three hundred thirteen billion, two hundred twenty million, three hundred ten thousand, thirty-three".