13001122221331 has 8 divisors (see below), whose sum is σ = 13091438259200. Its totient is φ = 12911056021512.

The previous prime is 13001122221323. The next prime is 13001122221359. The reversal of 13001122221331 is 13312222110031.

13001122221331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13001122221331 - 2³ = 13001122221323 is a prime.

It is a super-2 number, since 2×13001122221331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13001122225331) 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, 62355075 + ... + 62563228.

It is an arithmetic number, because the mean of its divisors is an integer number (1636429782400).

Almost surely, 2^{13001122221331} is an apocalyptic number.

13001122221331 is a deficient number, since it is larger than the sum of its proper divisors (90316037869).

13001122221331 is a wasteful number, since it uses less digits than its factorization.

13001122221331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124919025.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13001122221331 its reverse (13312222110031), we get a palindrome (26313344331362).

The spelling of 13001122221331 in words is "thirteen trillion, one billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred thirty-one".