131343214221120 has 448 divisors, whose sum is σ = 478973283148800. Its totient is φ = 30158352138240.

The previous prime is 131343214221113. The next prime is 131343214221133. The reversal of 131343214221120 is 21122412343131.

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 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, 948757347 + ... + 948895773.

Almost surely, 2^{131343214221120} is an apocalyptic number.

131343214221120 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 131343214221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239486641574400).

131343214221120 is an abundant number, since it is smaller than the sum of its proper divisors (347630068927680).

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

131343214221120 is a wasteful number, since it uses less digits than its factorization.

131343214221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143206 (or 143196 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131343214221120 its reverse (21122412343131), we get a palindrome (152465626564251).

The spelling of 131343214221120 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred fourteen million, two hundred twenty-one thousand, one hundred twenty".