131535131 has 16 divisors (see below), whose sum is σ = 164640000. Its totient is φ = 102303648.

The previous prime is 131535121. The next prime is 131535133.

131535131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 131535131 - 2¹⁴ = 131518747 is a prime.

It is a super-2 number, since 2×131535131² = 34602981374374322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131535097 and 131535106.

It is not an unprimeable number, because it can be changed into a prime (131535133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6881 + ... + 17618.

It is an arithmetic number, because the mean of its divisors is an integer number (10290000).

Almost surely, 2^131535131 is an apocalyptic number.

131535131 is a deficient number, since it is larger than the sum of its proper divisors (33104869).

131535131 is a wasteful number, since it uses less digits than its factorization.

131535131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24578.

The product of its digits is 675, while the sum is 23.

The square root of 131535131 is about 11468.8766232792. The cubic root of 131535131 is about 508.5659199969.

The spelling of 131535131 in words is "one hundred thirty-one million, five hundred thirty-five thousand, one hundred thirty-one".