131344431013020 has 192 divisors, whose sum is σ = 372213874529280. Its totient is φ = 34603016448000.

The previous prime is 131344431012979. The next prime is 131344431013049. The reversal of 131344431013020 is 20310134443131.

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 63 ways as a sum of consecutive naturals, for example, 5366899504 + ... + 5366923976.

It is an arithmetic number, because the mean of its divisors is an integer number (1938613929840).

Almost surely, 2^{131344431013020} is an apocalyptic number.

131344431013020 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 131344431013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186106937264640).

131344431013020 is an abundant number, since it is smaller than the sum of its proper divisors (240869443516260).

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

131344431013020 is a wasteful number, since it uses less digits than its factorization.

131344431013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26476 (or 26474 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131344431013020 its reverse (20310134443131), we get a palindrome (151654565456151).

The spelling of 131344431013020 in words is "one hundred thirty-one trillion, three hundred forty-four billion, four hundred thirty-one million, thirteen thousand, twenty".