113313123133033 has 2 divisors, whose sum is σ = 113313123133034. Its totient is φ = 113313123133032.

The previous prime is 113313123133009. The next prime is 113313123133051. The reversal of 113313123133033 is 330331321313311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72090084585744 + 41223038547289 = 8490588^2 + 6420517^2 .

It is a cyclic number.

It is not a de Polignac number, because 113313123133033 - 2⁴¹ = 111114099877481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113313123132986 and 113313123133004.

It is not a weakly prime, because it can be changed into another prime (113313123133433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56656561566516 + 56656561566517.

It is an arithmetic number, because the mean of its divisors is an integer number (56656561566517).

Almost surely, 2^{113313123133033} is an apocalyptic number.

It is an amenable number.

113313123133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

113313123133033 is an equidigital number, since it uses as much as digits as its factorization.

113313123133033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 31.

Adding to 113313123133033 its reverse (330331321313311), we get a palindrome (443644444446344).

The spelling of 113313123133033 in words is "one hundred thirteen trillion, three hundred thirteen billion, one hundred twenty-three million, one hundred thirty-three thousand, thirty-three".