110332211211313 has 24 divisors (see below), whose sum is σ = 136554774543936. Its totient is φ = 87286119336000.

The previous prime is 110332211211293. The next prime is 110332211211419. The reversal of 110332211211313 is 313112112233011.

It is not a de Polignac number, because 110332211211313 - 2⁵ = 110332211211281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110332211251313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5484963 + ... + 15835063.

It is an arithmetic number, because the mean of its divisors is an integer number (5689782272664).

Almost surely, 2^{110332211211313} is an apocalyptic number.

110332211211313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110332211211313 is a deficient number, since it is larger than the sum of its proper divisors (26222563332623).

110332211211313 is a wasteful number, since it uses less digits than its factorization.

110332211211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359145 (or 10359132 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 110332211211313 its reverse (313112112233011), we get a palindrome (423444323444324).

The spelling of 110332211211313 in words is "one hundred ten trillion, three hundred thirty-two billion, two hundred eleven million, two hundred eleven thousand, three hundred thirteen".