110513000000 has 196 divisors, whose sum is σ = 295241455236. Its totient is φ = 40800000000.

The previous prime is 110512999937. The next prime is 110513000009. The reversal of 110513000000 is 315011.

It can be written as a sum of positive squares in 14 ways, for example, as 46228440064 + 64284559936 = 215008^2 + 253544^2 .

It is not an unprimeable number, because it can be changed into a prime (110513000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12995750 + ... + 13004250.

Almost surely, 2^110513000000 is an apocalyptic number.

110513000000 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 110513000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147620727618).

110513000000 is an abundant number, since it is smaller than the sum of its proper divisors (184728455236).

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

110513000000 is an frugal number, since it uses more digits than its factorization.

110513000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8556 (or 8521 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 110513000000 its reverse (315011), we get a palindrome (110513315011).

The spelling of 110513000000 in words is "one hundred ten billion, five hundred thirteen million", and thus it is an aban number.