110231313220032 has 448 divisors, whose sum is σ = 324463501440000. Its totient is φ = 32867474669568.

The previous prime is 110231313220027. The next prime is 110231313220037. The reversal of 110231313220032 is 230022313132011.

110231313220032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (110231313220027) and next prime (110231313220037).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 110231313219984 and 110231313220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110231313220037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9887097594 + ... + 9887108742.

Almost surely, 2^{110231313220032} is an apocalyptic number.

110231313220032 is a gapful number since it is divisible by the number (12) 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 110231313220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162231750720000).

110231313220032 is an abundant number, since it is smaller than the sum of its proper divisors (214232188219968).

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

110231313220032 is a wasteful number, since it uses less digits than its factorization.

110231313220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12836 (or 12826 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 110231313220032 its reverse (230022313132011), we get a palindrome (340253626352043).

The spelling of 110231313220032 in words is "one hundred ten trillion, two hundred thirty-one billion, three hundred thirteen million, two hundred twenty thousand, thirty-two".