11000110031232 has 1024 divisors, whose sum is σ = 36506330726400. Its totient is φ = 2867739033600.

The previous prime is 11000110031231. The next prime is 11000110031249. The reversal of 11000110031232 is 23213001100011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000110031231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22403482507 + ... + 22403482997.

It is an arithmetic number, because the mean of its divisors is an integer number (35650713600).

Almost surely, 2^{11000110031232} is an apocalyptic number.

11000110031232 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 11000110031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18253165363200).

11000110031232 is an abundant number, since it is smaller than the sum of its proper divisors (25506220695168).

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

11000110031232 is a wasteful number, since it uses less digits than its factorization.

11000110031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11000110031232 its reverse (23213001100011), we get a palindrome (34213111131243).

The spelling of 11000110031232 in words is "eleven trillion, one hundred ten million, thirty-one thousand, two hundred thirty-two".