131412334020020 has 48 divisors (see below), whose sum is σ = 278701184453328. Its totient is φ = 52043938329600.

The previous prime is 131412334019999. The next prime is 131412334020029. The reversal of 131412334020020 is 20020433214131.

It can be written as a sum of positive squares in 8 ways, for example, as 6452219774884 + 124960114245136 = 2540122^2 + 11178556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412334020029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228330134 + ... + 228904946.

It is an arithmetic number, because the mean of its divisors is an integer number (5806274676111).

Almost surely, 2^{131412334020020} is an apocalyptic number.

131412334020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131412334020020 is an abundant number, since it is smaller than the sum of its proper divisors (147288850433308).

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

131412334020020 is a wasteful number, since it uses less digits than its factorization.

131412334020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688100 (or 688098 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 131412334020020 its reverse (20020433214131), we get a palindrome (151432767234151).

The spelling of 131412334020020 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-four million, twenty thousand, twenty".