63131313 has 16 divisors (see below), whose sum is σ = 96352256. Its totient is φ = 36018000.

The previous prime is 63131311. The next prime is 63131317. The reversal of 63131313 is 31313136.

It is not a de Polignac number, because 63131313 - 2¹ = 63131311 is a prime.

It is a super-2 number, since 2×63131313² = 7971125362207938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 63131313.

It is not an unprimeable number, because it can be changed into a prime (63131311) 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, 13770 + ... + 17772.

It is an arithmetic number, because the mean of its divisors is an integer number (6022016).

Almost surely, 2^63131313 is an apocalyptic number.

It is an amenable number.

63131313 is a deficient number, since it is larger than the sum of its proper divisors (33220943).

63131313 is a wasteful number, since it uses less digits than its factorization.

63131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764.

The product of its digits is 486, while the sum is 21.

The square root of 63131313 is about 7945.5215687833. The cubic root of 63131313 is about 398.1819849887.

Adding to 63131313 its reverse (31313136), we get a palindrome (94444449).

It can be divided in two parts, 6313 and 1313, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 63131313 in words is "sixty-three million, one hundred thirty-one thousand, three hundred thirteen".