131333013 has 48 divisors (see below), whose sum is σ = 227784960. Its totient is φ = 71292672.

The previous prime is 131333011. The next prime is 131333029. The reversal of 131333013 is 310333131.

It is not a de Polignac number, because 131333013 - 2¹ = 131333011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333011) 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 47 ways as a sum of consecutive naturals, for example, 337423 + ... + 337811.

It is an arithmetic number, because the mean of its divisors is an integer number (4745520).

Almost surely, 2^131333013 is an apocalyptic number.

It is an amenable number.

131333013 is a deficient number, since it is larger than the sum of its proper divisors (96451947).

131333013 is a wasteful number, since it uses less digits than its factorization.

131333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 131333013 is about 11460.0616490488. The cubic root of 131333013 is about 508.3052975550.

Adding to 131333013 its reverse (310333131), we get a palindrome (441666144).

The spelling of 131333013 in words is "one hundred thirty-one million, three hundred thirty-three thousand, thirteen".