1033221233113 has 2 divisors, whose sum is σ = 1033221233114. Its totient is φ = 1033221233112.

The previous prime is 1033221233111. The next prime is 1033221233129. The reversal of 1033221233113 is 3113321223301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 538186566544 + 495034666569 = 733612^2 + 703587^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033221233113 - 2¹ = 1033221233111 is a prime.

It is a super-2 number, since 2×1033221233113² (a number of 25 digits) contains 22 as substring.

Together with 1033221233111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1033221233111) 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, 516610616556 + 516610616557.

It is an arithmetic number, because the mean of its divisors is an integer number (516610616557).

Almost surely, 2^{1033221233113} is an apocalyptic number.

It is an amenable number.

1033221233113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033221233113 is an equidigital number, since it uses as much as digits as its factorization.

1033221233113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1033221233113 its reverse (3113321223301), we get a palindrome (4146542456414).

The spelling of 1033221233113 in words is "one trillion, thirty-three billion, two hundred twenty-one million, two hundred thirty-three thousand, one hundred thirteen".