33321201113113 has 2 divisors, whose sum is σ = 33321201113114. Its totient is φ = 33321201113112.

The previous prime is 33321201113107. The next prime is 33321201113131. The reversal of 33321201113113 is 31131110212333.

Together with next prime (33321201113131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28300612508224 + 5020588604889 = 5319832^2 + 2240667^2 .

It is a cyclic number.

It is not a de Polignac number, because 33321201113113 - 2²⁵ = 33321167558681 is a prime.

It is a super-2 number, since 2×33321201113113² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33321201153113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16660600556556 + 16660600556557.

It is an arithmetic number, because the mean of its divisors is an integer number (16660600556557).

Almost surely, 2^{33321201113113} is an apocalyptic number.

It is an amenable number.

33321201113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

33321201113113 is an equidigital number, since it uses as much as digits as its factorization.

33321201113113 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 33321201113113 its reverse (31131110212333), we get a palindrome (64452311325446).

The spelling of 33321201113113 in words is "thirty-three trillion, three hundred twenty-one billion, two hundred one million, one hundred thirteen thousand, one hundred thirteen".