13322131103106 has 96 divisors (see below), whose sum is σ = 34439359178880. Its totient is φ = 3806190857952.

The previous prime is 13322131103101. The next prime is 13322131103123. The reversal of 13322131103106 is 60130113122331.

13322131103106 is a `hidden beast` number, since 1 + 3 + 32 + 2 + 1 + 311 + 0 + 310 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13322131103106.

It is not an unprimeable number, because it can be changed into a prime (13322131103101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95961915 + ... + 96100641.

It is an arithmetic number, because the mean of its divisors is an integer number (358743324780).

Almost surely, 2^{13322131103106} is an apocalyptic number.

13322131103106 is an abundant number, since it is smaller than the sum of its proper divisors (21117228075774).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13322131103106 is a wasteful number, since it uses less digits than its factorization.

13322131103106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175045 (or 175032 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 13322131103106 its reverse (60130113122331), we get a palindrome (73452244225437).

The spelling of 13322131103106 in words is "thirteen trillion, three hundred twenty-two billion, one hundred thirty-one million, one hundred three thousand, one hundred six".