110013210000000 has 768 divisors, whose sum is σ = 406424434160160. Its totient is φ = 28543104000000.

The previous prime is 110013209999969. The next prime is 110013210000007. The reversal of 110013210000000 is 12310011.

It can be written as a sum of positive squares in 16 ways, for example, as 103298602342464 + 6714607657536 = 10163592^2 + 2591256^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110013210000007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3329983482 + ... + 3330016518.

Almost surely, 2^{110013210000000} is an apocalyptic number.

110013210000000 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 110013210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212217080080).

110013210000000 is an abundant number, since it is smaller than the sum of its proper divisors (296411224160160).

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

110013210000000 is an frugal number, since it uses more digits than its factorization.

110013210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33129 (or 33084 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110013210000000 its reverse (12310011), we get a palindrome (110013222310011).

The spelling of 110013210000000 in words is "one hundred ten trillion, thirteen billion, two hundred ten million", and thus it is an aban number.