11132023110000 has 400 divisors, whose sum is σ = 38735120793600. Its totient is φ = 2737699200000.

The previous prime is 11132023109971. The next prime is 11132023110007. The reversal of 11132023110000 is 1132023111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132023110007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 448877601 + ... + 448902399.

It is an arithmetic number, because the mean of its divisors is an integer number (96837801984).

Almost surely, 2^{11132023110000} is an apocalyptic number.

11132023110000 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 11132023110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19367560396800).

11132023110000 is an abundant number, since it is smaller than the sum of its proper divisors (27603097683600).

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

11132023110000 is a wasteful number, since it uses less digits than its factorization.

11132023110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25994 (or 25973 counting only the distinct ones).

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

Adding to 11132023110000 its reverse (1132023111), we get a palindrome (11133155133111).

The spelling of 11132023110000 in words is "eleven trillion, one hundred thirty-two billion, twenty-three million, one hundred ten thousand".