3013131663 has 64 divisors (see below), whose sum is σ = 5023296000. Its totient is φ = 1773798912.

The previous prime is 3013131659. The next prime is 3013131703. The reversal of 3013131663 is 3661313103.

It is a Cunningham number, because it is equal to 54892²-1.

It is not a de Polignac number, because 3013131663 - 2² = 3013131659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013131643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931533 + ... + 934761.

It is an arithmetic number, because the mean of its divisors is an integer number (78489000).

Almost surely, 2^3013131663 is an apocalyptic number.

3013131663 is a deficient number, since it is larger than the sum of its proper divisors (2010164337).

3013131663 is a wasteful number, since it uses less digits than its factorization.

3013131663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3013131663 is about 54891.9999908912. Note that the first 5 decimals coincide. The cubic root of 3013131663 is about 1444.3508557218.

Adding to 3013131663 its reverse (3661313103), we get a palindrome (6674444766).

The spelling of 3013131663 in words is "three billion, thirteen million, one hundred thirty-one thousand, six hundred sixty-three".