21131333313112 has 64 divisors (see below), whose sum is σ = 43653289370400. Its totient is φ = 9509581440000.

The previous prime is 21131333313109. The next prime is 21131333313119.

It is a happy number.

21131333313112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21131333313112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131333313119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 231228964 + ... + 231320332.

Almost surely, 2^{21131333313112} is an apocalyptic number.

21131333313112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21131333313112 is an abundant number, since it is smaller than the sum of its proper divisors (22521956057288).

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

21131333313112 is a wasteful number, since it uses less digits than its factorization.

21131333313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117508 (or 117504 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 2113133 and 3313112, that added together give a palindrome (5426245).

The spelling of 21131333313112 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred twelve".