21313433431312 has 80 divisors (see below), whose sum is σ = 45738327773952. Its totient is φ = 9539757279360.

The previous prime is 21313433431307. The next prime is 21313433431333.

21313433431312 is nontrivially palindromic in base 10.

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, 31301103 + ... + 31974769.

Almost surely, 2^{21313433431312} is an apocalyptic number.

21313433431312 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 21313433431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869163886976).

21313433431312 is an abundant number, since it is smaller than the sum of its proper divisors (24424894342640).

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

21313433431312 is a wasteful number, since it uses less digits than its factorization.

21313433431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676436 (or 676430 counting only the distinct ones).

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 2131343 and 3431312, that added together give a palindrome (5562655).

The spelling of 21313433431312 in words is "twenty-one trillion, three hundred thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, three hundred twelve".