131313 has 24 divisors (see below), whose sum is σ = 222528. Its totient is φ = 67392.

The previous prime is 131311. The next prime is 131317. The reversal of 131313 is 313131.

It is not a de Polignac number, because 131313 - 2¹ = 131311 is a prime.

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

131313 is an undulating number in base 10.

131313 is a modest number, since divided by 1313 gives 13 as remainder.

It is a Curzon number.

131313 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3531 + ... + 3567.

It is an arithmetic number, because the mean of its divisors is an integer number (9272).

2¹³¹³¹³ is an apocalyptic number.

131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131313 is a deficient number, since it is larger than the sum of its proper divisors (91215).

131313 is a wasteful number, since it uses less digits than its factorization.

131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its digits is 27, while the sum is 12.

The square root of 131313 is about 362.3713564839. The cubic root of 131313 is about 50.8279477110.

Adding to 131313 its reverse (313131), we get a palindrome (444444).

It can be divided in two parts, 13131 and 3, that multiplied together give a palindrome (39393).

The spelling of 131313 in words is "one hundred thirty-one thousand, three hundred thirteen".