110013222310320 has 320 divisors, whose sum is σ = 410467835520000. Its totient is φ = 23811207856128.

The previous prime is 110013222310309. The next prime is 110013222310331. The reversal of 110013222310320 is 23013222310011.

It is an interprime number because it is at equal distance from previous prime (110013222310309) and next prime (110013222310331).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 67148256 + ... + 68767104.

It is an arithmetic number, because the mean of its divisors is an integer number (1282711986000).

Almost surely, 2^{110013222310320} is an apocalyptic number.

110013222310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110013222310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205233917760000).

110013222310320 is an abundant number, since it is smaller than the sum of its proper divisors (300454613209680).

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

110013222310320 is a wasteful number, since it uses less digits than its factorization.

110013222310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621020 (or 1621014 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 110013222310320 its reverse (23013222310011), we get a palindrome (133026444620331).

The spelling of 110013222310320 in words is "one hundred ten trillion, thirteen billion, two hundred twenty-two million, three hundred ten thousand, three hundred twenty".