21135333353112 has 144 divisors (see below), whose sum is σ = 62985261306240. Its totient is φ = 6397837776000.

The previous prime is 21135333353087. The next prime is 21135333353129.

21135333353112 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 5 + 3 + 3 + 335 + 311 + 2 = 666.

21135333353112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6908937 + ... + 9487047.

It is an arithmetic number, because the mean of its divisors is an integer number (437397647960).

Almost surely, 2^{21135333353112} is an apocalyptic number.

21135333353112 is a gapful number since it is divisible by the number (22) 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 21135333353112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31492630653120).

21135333353112 is an abundant number, since it is smaller than the sum of its proper divisors (41849927953128).

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

21135333353112 is a wasteful number, since it uses less digits than its factorization.

21135333353112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579086 (or 2579068 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

It can be divided in two parts, 2113533 and 3353112, that added together give a palindrome (5466645).

The spelling of 21135333353112 in words is "twenty-one trillion, one hundred thirty-five billion, three hundred thirty-three million, three hundred fifty-three thousand, one hundred twelve".