13001311220331 has 8 divisors (see below), whose sum is σ = 19811521859584. Its totient is φ = 7429320697320.

The previous prime is 13001311220299. The next prime is 13001311220353. The reversal of 13001311220331 is 13302211310031.

It is a happy number.

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

It is not a de Polignac number, because 13001311220331 - 2⁵ = 13001311220299 is a prime.

It is a super-2 number, since 2×13001311220331² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 619110058111 = 13001311220331 / (1 + 3 + 0 + 0 + 1 + 3 + 1 + 1 + 2 + 2 + 0 + 3 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 13001311220298 and 13001311220307.

It is not an unprimeable number, because it can be changed into a prime (13001311220531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309555029035 + ... + 309555029076.

It is an arithmetic number, because the mean of its divisors is an integer number (2476440232448).

Almost surely, 2^{13001311220331} is an apocalyptic number.

13001311220331 is a deficient number, since it is larger than the sum of its proper divisors (6810210639253).

13001311220331 is an equidigital number, since it uses as much as digits as its factorization.

13001311220331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619110058121.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13001311220331 its reverse (13302211310031), we get a palindrome (26303522530362).

The spelling of 13001311220331 in words is "thirteen trillion, one billion, three hundred eleven million, two hundred twenty thousand, three hundred thirty-one".