13321331101007 has 16 divisors (see below), whose sum is σ = 13777373656320. Its totient is φ = 12866940806400.

The previous prime is 13321331100953. The next prime is 13321331101009. The reversal of 13321331101007 is 70010113312331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13321331101007 - 2¹⁸ = 13321330838863 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321331101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119554373 + ... + 119665745.

It is an arithmetic number, because the mean of its divisors is an integer number (861085853520).

Almost surely, 2^{13321331101007} is an apocalyptic number.

13321331101007 is a deficient number, since it is larger than the sum of its proper divisors (456042555313).

13321331101007 is a wasteful number, since it uses less digits than its factorization.

13321331101007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118754.

The product of its (nonzero) digits is 1134, while the sum is 26.

Adding to 13321331101007 its reverse (70010113312331), we get a palindrome (83331444413338).

The spelling of 13321331101007 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty-one million, one hundred one thousand, seven".