11301331000032 has 192 divisors, whose sum is σ = 33511183272000. Its totient is φ = 3704402903040.

The previous prime is 11301331000031. The next prime is 11301331000051. The reversal of 11301331000032 is 23000013310311.

It is a happy number.

11301331000032 is a `hidden beast` number, since 1 + 1 + 301 + 331 + 0 + 0 + 0 + 0 + 32 = 666.

11301331000032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11301330999969 and 11301331000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301331000031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222227344 + ... + 222278192.

It is an arithmetic number, because the mean of its divisors is an integer number (174537412875).

Almost surely, 2^{11301331000032} is an apocalyptic number.

11301331000032 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 11301331000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755591636000).

11301331000032 is an abundant number, since it is smaller than the sum of its proper divisors (22209852271968).

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

11301331000032 is a wasteful number, since it uses less digits than its factorization.

11301331000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55146 (or 55132 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11301331000032 its reverse (23000013310311), we get a palindrome (34301344310343).

The spelling of 11301331000032 in words is "eleven trillion, three hundred one billion, three hundred thirty-one million, thirty-two", and thus it is an aban number.