11210013331000 has 256 divisors, whose sum is σ = 29164882032000. Its totient is φ = 3998937600000.

The previous prime is 11210013330973. The next prime is 11210013331037. The reversal of 11210013331000 is 13331001211.

It is a super-2 number, since 2×11210013331000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121052716 + ... + 121145284.

Almost surely, 2^{11210013331000} is an apocalyptic number.

11210013331000 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 11210013331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582441016000).

11210013331000 is an abundant number, since it is smaller than the sum of its proper divisors (17954868701000).

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

11210013331000 is a wasteful number, since it uses less digits than its factorization.

11210013331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92811 (or 92797 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11210013331000 its reverse (13331001211), we get a palindrome (11223344332211).

The spelling of 11210013331000 in words is "eleven trillion, two hundred ten billion, thirteen million, three hundred thirty-one thousand".