21113011331000 has 128 divisors (see below), whose sum is σ = 52314553287360. Its totient is φ = 7947825664000.

The previous prime is 21113011330997. The next prime is 21113011331047. The reversal of 21113011331000 is 13311031112.

It is a super-3 number, since 3×21113011331000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 21113011331000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 269937899 + ... + 270016101.

Almost surely, 2^{21113011331000} is an apocalyptic number.

21113011331000 is a gapful number since it is divisible by the number (20) 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 21113011331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26157276643680).

21113011331000 is an abundant number, since it is smaller than the sum of its proper divisors (31201541956360).

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

21113011331000 is a wasteful number, since it uses less digits than its factorization.

21113011331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94122 (or 94108 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 21113011331000 its reverse (13311031112), we get a palindrome (21126322362112).

The spelling of 21113011331000 in words is "twenty-one trillion, one hundred thirteen billion, eleven million, three hundred thirty-one thousand".