10131513 has 32 divisors (see below), whose sum is σ = 16220160. Its totient is φ = 5503680.

The previous prime is 10131491. The next prime is 10131529. The reversal of 10131513 is 31513101.

It is not a de Polignac number, because 10131513 - 2⁵ = 10131481 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10131492 and 10131501.

It is not an unprimeable number, because it can be changed into a prime (10131413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51331 + ... + 51527.

It is an arithmetic number, because the mean of its divisors is an integer number (506880).

Almost surely, 2^10131513 is an apocalyptic number.

It is an amenable number.

10131513 is a deficient number, since it is larger than the sum of its proper divisors (6088647).

10131513 is a wasteful number, since it uses less digits than its factorization.

10131513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 10131513 is about 3183.0037700260. The cubic root of 10131513 is about 216.3838126229.

Adding to 10131513 its reverse (31513101), we get a palindrome (41644614).

It can be divided in two parts, 101 and 31513, that multiplied together give a palindrome (3182813).

The spelling of 10131513 in words is "ten million, one hundred thirty-one thousand, five hundred thirteen".