131315535 has 72 divisors (see below), whose sum is σ = 254876544. Its totient is φ = 62449920.

The previous prime is 131315521. The next prime is 131315537. The reversal of 131315535 is 535513131.

It is not a de Polignac number, because 131315535 - 2⁴ = 131315519 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131315499 and 131315508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131315537) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 235477 + ... + 236033.

It is an arithmetic number, because the mean of its divisors is an integer number (3539952).

Almost surely, 2^131315535 is an apocalyptic number.

131315535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131315535 is a deficient number, since it is larger than the sum of its proper divisors (123561009).

131315535 is a wasteful number, since it uses less digits than its factorization.

131315535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its digits is 3375, while the sum is 27.

The square root of 131315535 is about 11459.2990623336. The cubic root of 131315535 is about 508.2827478702.

Adding to 131315535 its reverse (535513131), we get a palindrome (666828666).

The spelling of 131315535 in words is "one hundred thirty-one million, three hundred fifteen thousand, five hundred thirty-five".