13331404320020 has 24 divisors (see below), whose sum is σ = 28011919453224. Its totient is φ = 5329519750656.

The previous prime is 13331404319977. The next prime is 13331404320029. The reversal of 13331404320020 is 2002340413331.

It can be written as a sum of positive squares in 4 ways, for example, as 41252859664 + 13290151460356 = 203108^2 + 3645566^2 .

It is a super-2 number, since 2×13331404320020² (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 (13331404320029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190087649 + ... + 190157768.

It is an arithmetic number, because the mean of its divisors is an integer number (1167163310551).

Almost surely, 2^{13331404320020} is an apocalyptic number.

13331404320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331404320020 is an abundant number, since it is smaller than the sum of its proper divisors (14680515133204).

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

13331404320020 is a wasteful number, since it uses less digits than its factorization.

13331404320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380247179 (or 380247177 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13331404320020 its reverse (2002340413331), we get a palindrome (15333744733351).

The spelling of 13331404320020 in words is "thirteen trillion, three hundred thirty-one billion, four hundred four million, three hundred twenty thousand, twenty".