131181120 has 336 divisors, whose sum is σ = 536984448. Its totient is φ = 29859840.

The previous prime is 131181079. The next prime is 131181133. The reversal of 131181120 is 21181131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131181093 and 131181102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544200 + ... + 544440.

It is an arithmetic number, because the mean of its divisors is an integer number (1598168).

Almost surely, 2^131181120 is an apocalyptic number.

131181120 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 131181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268492224).

131181120 is an abundant number, since it is smaller than the sum of its proper divisors (405803328).

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

131181120 is an equidigital number, since it uses as much as digits as its factorization.

131181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 131181120 is about 11453.4326732207. The cubic root of 131181120 is about 508.1092620498.

The spelling of 131181120 in words is "one hundred thirty-one million, one hundred eighty-one thousand, one hundred twenty".