21333133133312 has 160 divisors (see below), whose sum is σ = 57230233530624. Its totient is φ = 7672255488000.

The previous prime is 21333133133309. The next prime is 21333133133341.

21333133133312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21333133133312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20299814 + ... + 21324837.

Almost surely, 2^{21333133133312} is an apocalyptic number.

21333133133312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21333133133312 is an abundant number, since it is smaller than the sum of its proper divisors (35897100397312).

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

21333133133312 is a wasteful number, since it uses less digits than its factorization.

21333133133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41624700 (or 41624684 counting only the distinct ones).

The product of its digits is 26244, while the sum is 32.

It can be divided in two parts, 2133313 and 3133312, that added together give a palindrome (5266625).

The spelling of 21333133133312 in words is "twenty-one trillion, three hundred thirty-three billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred twelve".