10031130993 has 64 divisors (see below), whose sum is σ = 15754798080. Its totient is φ = 5620826112.

The previous prime is 10031130983. The next prime is 10031131021. The reversal of 10031130993 is 39903113001.

It is a happy number.

It is not a de Polignac number, because 10031130993 - 2⁵ = 10031130961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10031130993.

It is not an unprimeable number, because it can be changed into a prime (10031130983) 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, 2771521 + ... + 2775137.

It is an arithmetic number, because the mean of its divisors is an integer number (246168720).

Almost surely, 2^10031130993 is an apocalyptic number.

10031130993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10031130993 is a deficient number, since it is larger than the sum of its proper divisors (5723667087).

10031130993 is a wasteful number, since it uses less digits than its factorization.

10031130993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786.

The product of its (nonzero) digits is 2187, while the sum is 30.

Adding to 10031130993 its reverse (39903113001), we get a palindrome (49934243994).

The spelling of 10031130993 in words is "ten billion, thirty-one million, one hundred thirty thousand, nine hundred ninety-three".