131404102314020 has 192 divisors, whose sum is σ = 303636891672576. Its totient is φ = 47622467988480.

The previous prime is 131404102313963. The next prime is 131404102314029. The reversal of 131404102314020 is 20413201404131.

It is not an unprimeable number, because it can be changed into a prime (131404102314029) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 134948537 + ... + 135918783.

It is an arithmetic number, because the mean of its divisors is an integer number (1581442144128).

Almost surely, 2^{131404102314020} is an apocalyptic number.

131404102314020 is a gapful number since it is divisible by the number (10) 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 131404102314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151818445836288).

131404102314020 is an abundant number, since it is smaller than the sum of its proper divisors (172232789358556).

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

131404102314020 is a wasteful number, since it uses less digits than its factorization.

131404102314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970530 (or 970528 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131404102314020 its reverse (20413201404131), we get a palindrome (151817303718151).

The spelling of 131404102314020 in words is "one hundred thirty-one trillion, four hundred four billion, one hundred two million, three hundred fourteen thousand, twenty".