131123180 has 48 divisors (see below), whose sum is σ = 299228160. Its totient is φ = 48081600.

The previous prime is 131123177. The next prime is 131123183. The reversal of 131123180 is 81321131.

It is an interprime number because it is at equal distance from previous prime (131123177) and next prime (131123183).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131123183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6215 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (6233920).

Almost surely, 2^131123180 is an apocalyptic number.

131123180 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 131123180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149614080).

131123180 is an abundant number, since it is smaller than the sum of its proper divisors (168104980).

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

131123180 is a wasteful number, since it uses less digits than its factorization.

131123180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11190 (or 11188 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 131123180 is about 11450.9030211595. The cubic root of 131123180 is about 508.0344439001.

The spelling of 131123180 in words is "one hundred thirty-one million, one hundred twenty-three thousand, one hundred eighty".