110313322211313 has 16 divisors (see below), whose sum is σ = 175998462787840. Its totient is φ = 67885121360592.

The previous prime is 110313322211299. The next prime is 110313322211327. The reversal of 110313322211313 is 313112223313011.

110313322211313 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 1 + 3 + 322 + 21 + 1 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (110313322211299) and next prime (110313322211327).

It is not a de Polignac number, because 110313322211313 - 2⁹ = 110313322210801 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110313322211333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157141484281 + ... + 157141484982.

It is an arithmetic number, because the mean of its divisors is an integer number (10999903924240).

Almost surely, 2^{110313322211313} is an apocalyptic number.

110313322211313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110313322211313 is a deficient number, since it is larger than the sum of its proper divisors (65685140576527).

110313322211313 is a wasteful number, since it uses less digits than its factorization.

110313322211313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314282969285 (or 314282969279 counting only the distinct ones).

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

Adding to 110313322211313 its reverse (313112223313011), we get a palindrome (423425545524324).

The spelling of 110313322211313 in words is "one hundred ten trillion, three hundred thirteen billion, three hundred twenty-two million, two hundred eleven thousand, three hundred thirteen".