131413330333020 has 48 divisors (see below), whose sum is σ = 369356402257920. Its totient is φ = 34910309295936.

The previous prime is 131413330332989. The next prime is 131413330333037. The reversal of 131413330333020 is 20333033314131.

It is a happy number.

It is a super-3 number, since 3×131413330333020³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4163904700 + ... + 4163936259.

It is an arithmetic number, because the mean of its divisors is an integer number (7694925047040).

Almost surely, 2^{131413330333020} is an apocalyptic number.

131413330333020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413330333020 is an abundant number, since it is smaller than the sum of its proper divisors (237943071924900).

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

131413330333020 is a wasteful number, since it uses less digits than its factorization.

131413330333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8327841234 (or 8327841232 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 131413330333020 its reverse (20333033314131), we get a palindrome (151746363647151).

The spelling of 131413330333020 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, three hundred thirty-three thousand, twenty".