131024817 has 128 divisors (see below), whose sum is σ = 265420800. Its totient is φ = 61819200.

The previous prime is 131024809. The next prime is 131024843. The reversal of 131024817 is 718420131.

It is not a de Polignac number, because 131024817 - 2³ = 131024809 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (131024917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1224478 + ... + 1224584.

It is an arithmetic number, because the mean of its divisors is an integer number (2073600).

Almost surely, 2^131024817 is an apocalyptic number.

It is an amenable number.

131024817 is an abundant number, since it is smaller than the sum of its proper divisors (134395983).

131024817 is a wasteful number, since it uses less digits than its factorization.

131024817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 131024817 is about 11446.6072265978. The cubic root of 131024817 is about 507.9073768863.

Adding to 131024817 its reverse (718420131), we get a palindrome (849444948).

It can be divided in two parts, 131024 and 817, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 131024817 in words is "one hundred thirty-one million, twenty-four thousand, eight hundred seventeen".