10131313131303 has 256 divisors, whose sum is σ = 18569852743680. Its totient is φ = 4762644480000.

The previous prime is 10131313131301. The next prime is 10131313131353. The reversal of 10131313131303 is 30313131313101.

It is not a de Polignac number, because 10131313131303 - 2¹ = 10131313131301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131313131301) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1023256653 + ... + 1023266553.

It is an arithmetic number, because the mean of its divisors is an integer number (72538487280).

Almost surely, 2^{10131313131303} is an apocalyptic number.

10131313131303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10131313131303 is a deficient number, since it is larger than the sum of its proper divisors (8438539612377).

10131313131303 is a wasteful number, since it uses less digits than its factorization.

10131313131303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10138.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 10131313131303 its reverse (30313131313101), we get a palindrome (40444444444404).

The spelling of 10131313131303 in words is "ten trillion, one hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred three".