11213033310000 has 400 divisors, whose sum is σ = 40715685185120. Its totient is φ = 2990136384000.

The previous prime is 11213033309981. The next prime is 11213033310001. The reversal of 11213033310000 is 1333031211.

It is a happy number.

11213033310000 is a `hidden beast` number, since 11 + 21 + 303 + 331 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×11213033310000² (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 (11213033310001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21613644 + ... + 22126356.

Almost surely, 2^{11213033310000} is an apocalyptic number.

11213033310000 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 11213033310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357842592560).

11213033310000 is an abundant number, since it is smaller than the sum of its proper divisors (29502651875120).

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

11213033310000 is an frugal number, since it uses more digits than its factorization.

11213033310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512762 (or 512723 counting only the distinct ones).

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

Adding to 11213033310000 its reverse (1333031211), we get a palindrome (11214366341211).

The spelling of 11213033310000 in words is "eleven trillion, two hundred thirteen billion, thirty-three million, three hundred ten thousand".