131003920 has 20 divisors (see below), whose sum is σ = 304584300. Its totient is φ = 52401536.

The previous prime is 131003911. The next prime is 131003987. The reversal of 131003920 is 29300131.

It can be written as a sum of positive squares in 2 ways, for example, as 90859024 + 40144896 = 9532^2 + 6336^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 818695 + ... + 818854.

It is an arithmetic number, because the mean of its divisors is an integer number (15229215).

Almost surely, 2^131003920 is an apocalyptic number.

131003920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131003920 is an abundant number, since it is smaller than the sum of its proper divisors (173580380).

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

131003920 is a wasteful number, since it uses less digits than its factorization.

131003920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637562 (or 1637556 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 131003920 is about 11445.6943869736. The cubic root of 131003920 is about 507.8803735928.

It can be divided in two parts, 13100 and 3920, that added together give a triangular number (17020 = T₁₈₄).

The spelling of 131003920 in words is "one hundred thirty-one million, three thousand, nine hundred twenty".