11322131033232 has 240 divisors, whose sum is σ = 34606222560000. Its totient is φ = 3573657470592.

The previous prime is 11322131033231. The next prime is 11322131033287. The reversal of 11322131033232 is 23233013122311.

11322131033232 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 21 + 310 + 3 + 323 + 2 = 666.

It is a super-2 number, since 2×11322131033232² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11322131033196 and 11322131033205.

It is not an unprimeable number, because it can be changed into a prime (11322131033231) 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 47 ways as a sum of consecutive naturals, for example, 155020819 + ... + 155093837.

It is an arithmetic number, because the mean of its divisors is an integer number (144192594000).

Almost surely, 2^{11322131033232} is an apocalyptic number.

11322131033232 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 11322131033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17303111280000).

11322131033232 is an abundant number, since it is smaller than the sum of its proper divisors (23284091526768).

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

11322131033232 is a wasteful number, since it uses less digits than its factorization.

11322131033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75160 (or 75142 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11322131033232 its reverse (23233013122311), we get a palindrome (34555144155543).

The spelling of 11322131033232 in words is "eleven trillion, three hundred twenty-two billion, one hundred thirty-one million, thirty-three thousand, two hundred thirty-two".