13131312 has 20 divisors (see below), whose sum is σ = 33922680. Its totient is φ = 4377088.

The previous prime is 13131281. The next prime is 13131317. The reversal of 13131312 is 21313131.

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 = 13131291 and 13131300.

It is not an unprimeable number, because it can be changed into a prime (13131317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136737 + ... + 136832.

It is an arithmetic number, because the mean of its divisors is an integer number (1696134).

Almost surely, 2^13131312 is an apocalyptic number.

13131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131312 is an abundant number, since it is smaller than the sum of its proper divisors (20791368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131312 is a wasteful number, since it uses less digits than its factorization.

13131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273580 (or 273574 counting only the distinct ones).

The product of its digits is 54, while the sum is 15.

The square root of 13131312 is about 3623.7152205989. The cubic root of 13131312 is about 235.9225063963.

Adding to 13131312 its reverse (21313131), we get a palindrome (34444443).

It can be divided in two parts, 1313131 and 2, that multiplied together give a palindrome (2626262).

The spelling of 13131312 in words is "thirteen million, one hundred thirty-one thousand, three hundred twelve".