131335113 has 64 divisors (see below), whose sum is σ = 227888640. Its totient is φ = 65415168.

The previous prime is 131335109. The next prime is 131335147. The reversal of 131335113 is 311533131.

It is not a de Polignac number, because 131335113 - 2² = 131335109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 131335113.

It is not an unprimeable number, because it can be changed into a prime (131335213) 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 63 ways as a sum of consecutive naturals, for example, 419445 + ... + 419757.

It is an arithmetic number, because the mean of its divisors is an integer number (3560760).

Almost surely, 2^131335113 is an apocalyptic number.

131335113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131335113 is a deficient number, since it is larger than the sum of its proper divisors (96553527).

131335113 is a wasteful number, since it uses less digits than its factorization.

131335113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418.

The product of its digits is 405, while the sum is 21.

The square root of 131335113 is about 11460.1532712263. The cubic root of 131335113 is about 508.3080067886.

Adding to 131335113 its reverse (311533131), we get a palindrome (442868244).

The spelling of 131335113 in words is "one hundred thirty-one million, three hundred thirty-five thousand, one hundred thirteen".