10131313110133 has 16 divisors (see below), whose sum is σ = 10169980001280. Its totient is φ = 10092730709376.

The previous prime is 10131313110091. The next prime is 10131313110151. The reversal of 10131313110133 is 33101131313101.

10131313110133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10131313110133 - 2¹⁷ = 10131312979061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131313111133) 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, 1331837016 + ... + 1331844622.

It is an arithmetic number, because the mean of its divisors is an integer number (635623750080).

Almost surely, 2^{10131313110133} is an apocalyptic number.

It is an amenable number.

10131313110133 is a deficient number, since it is larger than the sum of its proper divisors (38666891147).

10131313110133 is an equidigital number, since it uses as much as digits as its factorization.

10131313110133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12516.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 10131313110133 its reverse (33101131313101), we get a palindrome (43232444423234).

The spelling of 10131313110133 in words is "ten trillion, one hundred thirty-one billion, three hundred thirteen million, one hundred ten thousand, one hundred thirty-three".