131413330104020 has 24 divisors (see below), whose sum is σ = 276332548062984. Its totient is φ = 52495893023616.

The previous prime is 131413330103971. The next prime is 131413330104053. The reversal of 131413330104020 is 20401033314131.

It can be written as a sum of positive squares in 4 ways, for example, as 26879309844676 + 104534020259344 = 5184526^2 + 10224188^2 .

It is a super-3 number, since 3×131413330104020³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4339923107 + ... + 4339953386.

It is an arithmetic number, because the mean of its divisors is an integer number (11513856169291).

Almost surely, 2^{131413330104020} is an apocalyptic number.

131413330104020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413330104020 is an abundant number, since it is smaller than the sum of its proper divisors (144919217958964).

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

131413330104020 is a wasteful number, since it uses less digits than its factorization.

131413330104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8679877259 (or 8679877257 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 131413330104020 its reverse (20401033314131), we get a palindrome (151814363418151).

The spelling of 131413330104020 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, one hundred four thousand, twenty".