131729220120 has 128 divisors (see below), whose sum is σ = 397716480000. Its totient is φ = 34903503360.

The previous prime is 131729220113. The next prime is 131729220151. The reversal of 131729220120 is 21022927131.

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 31 ways as a sum of consecutive naturals, for example, 19602121 + ... + 19608839.

It is an arithmetic number, because the mean of its divisors is an integer number (3107160000).

Almost surely, 2^131729220120 is an apocalyptic number.

131729220120 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 131729220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198858240000).

131729220120 is an abundant number, since it is smaller than the sum of its proper divisors (265987259880).

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

131729220120 is a wasteful number, since it uses less digits than its factorization.

131729220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753 (or 7749 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 131729220120 in words is "one hundred thirty-one billion, seven hundred twenty-nine million, two hundred twenty thousand, one hundred twenty".