63131013 has 24 divisors (see below), whose sum is σ = 105333696. Its totient is φ = 36009600.

The previous prime is 63130997. The next prime is 63131017. The reversal of 63131013 is 31013136.

63131013 is a `hidden beast` number, since 631 + 31 + 0 + 1 + 3 = 666.

63131013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63131013 - 2⁴ = 63130997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63131017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17073 + ... + 20438.

It is an arithmetic number, because the mean of its divisors is an integer number (4388904).

Almost surely, 2^63131013 is an apocalyptic number.

It is an amenable number.

63131013 is a deficient number, since it is larger than the sum of its proper divisors (42202683).

63131013 is a wasteful number, since it uses less digits than its factorization.

63131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37545 (or 37542 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 63131013 is about 7945.5026902015. The cubic root of 63131013 is about 398.1813542674.

Adding to 63131013 its reverse (31013136), we get a palindrome (94144149).

The spelling of 63131013 in words is "sixty-three million, one hundred thirty-one thousand, thirteen".