13323233322001 has 16 divisors (see below), whose sum is σ = 13493797955280. Its totient is φ = 13153139112960.

The previous prime is 13323233321989. The next prime is 13323233322017. The reversal of 13323233322001 is 10022333232331.

It can be written as a sum of positive squares in 8 ways, for example, as 140343141376 + 13182890180625 = 374624^2 + 3630825^2 .

It is a cyclic number.

It is not a de Polignac number, because 13323233322001 - 2¹⁷ = 13323233190929 is a prime.

It is a super-3 number, since 3×13323233322001³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13323233322101) 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 in 15 ways as a sum of consecutive naturals, for example, 429309181 + ... + 429340213.

It is an arithmetic number, because the mean of its divisors is an integer number (843362372205).

Almost surely, 2^{13323233322001} is an apocalyptic number.

It is an amenable number.

13323233322001 is a deficient number, since it is larger than the sum of its proper divisors (170564633279).

13323233322001 is an equidigital number, since it uses as much as digits as its factorization.

13323233322001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38436.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 13323233322001 its reverse (10022333232331), we get a palindrome (23345566554332).

The spelling of 13323233322001 in words is "thirteen trillion, three hundred twenty-three billion, two hundred thirty-three million, three hundred twenty-two thousand, one".