1013131007 has 12 divisors (see below), whose sum is σ = 1182396600. Its totient is φ = 865556496.

The previous prime is 1013130971. The next prime is 1013131073. The reversal of 1013131007 is 7001313101.

It is not a de Polignac number, because 1013131007 - 2¹⁸ = 1012868863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013131307) 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 11 ways as a sum of consecutive naturals, for example, 18632 + ... + 48717.

It is an arithmetic number, because the mean of its divisors is an integer number (98533050).

Almost surely, 2^1013131007 is an apocalyptic number.

1013131007 is a deficient number, since it is larger than the sum of its proper divisors (169265593).

1013131007 is an equidigital number, since it uses as much as digits as its factorization.

1013131007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67670 (or 67663 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 1013131007 is about 31829.7189274426. The cubic root of 1013131007 is about 1004.3579827309.

Adding to 1013131007 its reverse (7001313101), we get a palindrome (8014444108).

The spelling of 1013131007 in words is "one billion, thirteen million, one hundred thirty-one thousand, seven".