11213321012300 has 144 divisors (see below), whose sum is σ = 26799647212800. Its totient is φ = 4038484435200.

The previous prime is 11213321012297. The next prime is 11213321012303. The reversal of 11213321012300 is 321012331211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11213321012297) and next prime (11213321012303).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11213321012303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309203969 + ... + 309240231.

It is an arithmetic number, because the mean of its divisors is an integer number (186108661200).

Almost surely, 2^{11213321012300} is an apocalyptic number.

11213321012300 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 11213321012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13399823606400).

11213321012300 is an abundant number, since it is smaller than the sum of its proper divisors (15586326200500).

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

11213321012300 is a wasteful number, since it uses less digits than its factorization.

11213321012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38976 (or 38969 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11213321012300 its reverse (321012331211), we get a palindrome (11534333343511).

The spelling of 11213321012300 in words is "eleven trillion, two hundred thirteen billion, three hundred twenty-one million, twelve thousand, three hundred".