131109720 has 128 divisors (see below), whose sum is σ = 453427200. Its totient is φ = 29707776.

The previous prime is 131109707. The next prime is 131109721. The reversal of 131109720 is 27901131.

It is a super-3 number, since 3×131109720³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131109721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106066 + ... + 107294.

It is an arithmetic number, because the mean of its divisors is an integer number (3542400).

Almost surely, 2^131109720 is an apocalyptic number.

131109720 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 131109720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226713600).

131109720 is an abundant number, since it is smaller than the sum of its proper divisors (322317480).

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

131109720 is a wasteful number, since it uses less digits than its factorization.

131109720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 131109720 is about 11450.3152795021. The cubic root of 131109720 is about 508.0170597945.

The spelling of 131109720 in words is "one hundred thirty-one million, one hundred nine thousand, seven hundred twenty".