13131413 has 16 divisors (see below), whose sum is σ = 14592000. Its totient is φ = 11761200.

The previous prime is 13131407. The next prime is 13131421. The reversal of 13131413 is 31413131.

13131413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13131413 - 2²² = 8937109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13131391 and 13131400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134413) 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, 65888 + ... + 66086.

It is an arithmetic number, because the mean of its divisors is an integer number (912000).

Almost surely, 2^13131413 is an apocalyptic number.

It is an amenable number.

13131413 is a deficient number, since it is larger than the sum of its proper divisors (1460587).

13131413 is a wasteful number, since it uses less digits than its factorization.

13131413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

The product of its digits is 108, while the sum is 17.

The square root of 13131413 is about 3623.7291565458. The cubic root of 13131413 is about 235.9231112638.

Adding to 13131413 its reverse (31413131), we get a palindrome (44544544).

The spelling of 13131413 in words is "thirteen million, one hundred thirty-one thousand, four hundred thirteen".