131322870 has 320 divisors, whose sum is σ = 451630080. Its totient is φ = 26687232.

The previous prime is 131322869. The next prime is 131322883. The reversal of 131322870 is 78223131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2477764 + ... + 2477816.

It is an arithmetic number, because the mean of its divisors is an integer number (1411344).

Almost surely, 2^131322870 is an apocalyptic number.

131322870 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 131322870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225815040).

131322870 is an abundant number, since it is smaller than the sum of its proper divisors (320307210).

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

131322870 is a wasteful number, since it uses less digits than its factorization.

131322870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 131322870 is about 11459.6191036177. The cubic root of 131322870 is about 508.2922115501.

The spelling of 131322870 in words is "one hundred thirty-one million, three hundred twenty-two thousand, eight hundred seventy".