11323200031000 has 256 divisors, whose sum is σ = 31314970552320. Its totient is φ = 3778027200000.

The previous prime is 11323200030917. The next prime is 11323200031001. The reversal of 11323200031000 is 13000232311.

It is a super-2 number, since 2×11323200031000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323200031001) 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 63 ways as a sum of consecutive naturals, for example, 23643925 + ... + 24118075.

It is an arithmetic number, because the mean of its divisors is an integer number (122324103720).

Almost surely, 2^{11323200031000} is an apocalyptic number.

11323200031000 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 11323200031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15657485276160).

11323200031000 is an abundant number, since it is smaller than the sum of its proper divisors (19991770521320).

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

11323200031000 is a wasteful number, since it uses less digits than its factorization.

11323200031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474363 (or 474349 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11323200031000 its reverse (13000232311), we get a palindrome (11336200263311).

The spelling of 11323200031000 in words is "eleven trillion, three hundred twenty-three billion, two hundred million, thirty-one thousand".