13310331112321 has 8 divisors (see below), whose sum is σ = 13431204114984. Its totient is φ = 13189512188160.

The previous prime is 13310331112283. The next prime is 13310331112333. The reversal of 13310331112321 is 12321113301331.

It can be written as a sum of positive squares in 4 ways, for example, as 2619425719296 + 10690905393025 = 1618464^2 + 3269695^2 .

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 13310331112321 - 2¹⁹ = 13310330588033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13310331122321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13025050 + ... + 14009731.

It is an arithmetic number, because the mean of its divisors is an integer number (1678900514373).

Almost surely, 2^{13310331112321} is an apocalyptic number.

It is an amenable number.

13310331112321 is a deficient number, since it is larger than the sum of its proper divisors (120873002663).

13310331112321 is a wasteful number, since it uses less digits than its factorization.

13310331112321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27039251.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13310331112321 its reverse (12321113301331), we get a palindrome (25631444413652).

The spelling of 13310331112321 in words is "thirteen trillion, three hundred ten billion, three hundred thirty-one million, one hundred twelve thousand, three hundred twenty-one".