110013001331232 has 192 divisors, whose sum is σ = 300405031686144. Its totient is φ = 35225405107200.

The previous prime is 110013001331221. The next prime is 110013001331249. The reversal of 110013001331232 is 232133100310011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110013001331199 and 110013001331208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167553982 + ... + 168209282.

It is an arithmetic number, because the mean of its divisors is an integer number (1564609540032).

Almost surely, 2^{110013001331232} is an apocalyptic number.

110013001331232 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 110013001331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150202515843072).

110013001331232 is an abundant number, since it is smaller than the sum of its proper divisors (190392030354912).

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

110013001331232 is a wasteful number, since it uses less digits than its factorization.

110013001331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656031 (or 656023 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 110013001331232 its reverse (232133100310011), we get a palindrome (342146101641243).

The spelling of 110013001331232 in words is "one hundred ten trillion, thirteen billion, one million, three hundred thirty-one thousand, two hundred thirty-two".