11513307 has 32 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 6716160.

The previous prime is 11513291. The next prime is 11513309. The reversal of 11513307 is 70331511.

It is not a de Polignac number, because 11513307 - 2⁴ = 11513291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11513309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107548 + ... + 107654.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^11513307 is an apocalyptic number.

11513307 is a deficient number, since it is larger than the sum of its proper divisors (5904933).

11513307 is a wasteful number, since it uses less digits than its factorization.

11513307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 11513307 is about 3393.1264344259. The cubic root of 11513307 is about 225.8048998877.

Adding to 11513307 its reverse (70331511), we get a palindrome (81844818).

The spelling of 11513307 in words is "eleven million, five hundred thirteen thousand, three hundred seven".