21313533531312 has 120 divisors (see below), whose sum is σ = 65434388984640. Its totient is φ = 6422564615040.

The previous prime is 21313533531233. The next prime is 21313533531317.

21313533531312 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 5 + 335 + 3 + 1 + 312 = 666.

21313533531312 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (21313533531317) 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 23 ways as a sum of consecutive naturals, for example, 37301698 + ... + 37868769.

It is an arithmetic number, because the mean of its divisors is an integer number (545286574872).

Almost surely, 2^{21313533531312} is an apocalyptic number.

21313533531312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21313533531312 is an abundant number, since it is smaller than the sum of its proper divisors (44120855453328).

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

21313533531312 is a wasteful number, since it uses less digits than its factorization.

21313533531312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75170671 (or 75170662 counting only the distinct ones).

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

It can be divided in two parts, 2131353 and 3531312, that added together give a palindrome (5662665).

The spelling of 21313533531312 in words is "twenty-one trillion, three hundred thirteen billion, five hundred thirty-three million, five hundred thirty-one thousand, three hundred twelve".