131288370 has 64 divisors (see below), whose sum is σ = 331257600. Its totient is φ = 33237248.

The previous prime is 131288369. The next prime is 131288387. The reversal of 131288370 is 73882131.

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, 102172 + ... + 103448.

It is an arithmetic number, because the mean of its divisors is an integer number (5175900).

Almost surely, 2^131288370 is an apocalyptic number.

131288370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131288370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165628800).

131288370 is an abundant number, since it is smaller than the sum of its proper divisors (199969230).

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

131288370 is a wasteful number, since it uses less digits than its factorization.

131288370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 131288370 is about 11458.1137191075. The cubic root of 131288370 is about 508.2476962848.

The spelling of 131288370 in words is "one hundred thirty-one million, two hundred eighty-eight thousand, three hundred seventy".