113003311321321 has 2 divisors, whose sum is σ = 113003311321322. Its totient is φ = 113003311321320.

The previous prime is 113003311321297. The next prime is 113003311321339. The reversal of 113003311321321 is 123123113300311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109667077562025 + 3336233759296 = 10472205^2 + 1826536^2 .

It is a cyclic number.

It is not a de Polignac number, because 113003311321321 - 2¹¹ = 113003311319273 is a prime.

It is not a weakly prime, because it can be changed into another prime (113003311321721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56501655660660 + 56501655660661.

It is an arithmetic number, because the mean of its divisors is an integer number (56501655660661).

Almost surely, 2^{113003311321321} is an apocalyptic number.

It is an amenable number.

113003311321321 is a deficient number, since it is larger than the sum of its proper divisors (1).

113003311321321 is an equidigital number, since it uses as much as digits as its factorization.

113003311321321 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 25.

Adding to 113003311321321 its reverse (123123113300311), we get a palindrome (236126424621632).

The spelling of 113003311321321 in words is "one hundred thirteen trillion, three billion, three hundred eleven million, three hundred twenty-one thousand, three hundred twenty-one".