131205970 has 32 divisors (see below), whose sum is σ = 274492800. Its totient is φ = 44221056.

The previous prime is 131205929. The next prime is 131205979. The reversal of 131205970 is 79502131.

131205970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131205979) 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 15 ways as a sum of consecutive naturals, for example, 11755 + ... + 20014.

It is an arithmetic number, because the mean of its divisors is an integer number (8577900).

Almost surely, 2^131205970 is an apocalyptic number.

131205970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131205970 is an abundant number, since it is smaller than the sum of its proper divisors (143286830).

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

131205970 is a wasteful number, since it uses less digits than its factorization.

131205970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31842.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 131205970 is about 11454.5174494607. The cubic root of 131205970 is about 508.1413442020.

The spelling of 131205970 in words is "one hundred thirty-one million, two hundred five thousand, nine hundred seventy".