11230321113000 has 2048 divisors, whose sum is σ = 46156942540800. Its totient is φ = 2497651200000.

The previous prime is 11230321112993. The next prime is 11230321113007. The reversal of 11230321113000 is 31112303211.

11230321113000 is a `hidden beast` number, since 1 + 1 + 2 + 30 + 321 + 11 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11230321112993) and next prime (11230321113007).

It is a super-2 number, since 2×11230321113000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11230321113007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 38328740854 + ... + 38328741146.

It is an arithmetic number, because the mean of its divisors is an integer number (22537569600).

Almost surely, 2^{11230321113000} is an apocalyptic number.

11230321113000 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 11230321113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23078471270400).

11230321113000 is an abundant number, since it is smaller than the sum of its proper divisors (34926621427800).

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

11230321113000 is a wasteful number, since it uses less digits than its factorization.

11230321113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11230321113000 its reverse (31112303211), we get a palindrome (11261433416211).

The spelling of 11230321113000 in words is "eleven trillion, two hundred thirty billion, three hundred twenty-one million, one hundred thirteen thousand".