13321133133001 has 8 divisors (see below), whose sum is σ = 13323587104904. Its totient is φ = 13318679404800.

The previous prime is 13321133132977. The next prime is 13321133133041. The reversal of 13321133133001 is 10033133112331.

It can be written as a sum of positive squares in 4 ways, for example, as 7960523673600 + 5360609459401 = 2821440^2 + 2315299^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13321133133001 - 2³⁵ = 13286773394633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13321133133041) 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 7 ways as a sum of consecutive naturals, for example, 135525265 + ... + 135623521.

It is an arithmetic number, because the mean of its divisors is an integer number (1665448388113).

Almost surely, 2^{13321133133001} is an apocalyptic number.

It is an amenable number.

13321133133001 is a deficient number, since it is larger than the sum of its proper divisors (2453971903).

13321133133001 is an equidigital number, since it uses as much as digits as its factorization.

13321133133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121851.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13321133133001 its reverse (10033133112331), we get a palindrome (23354266245332).

The spelling of 13321133133001 in words is "thirteen trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, one".