10131303101331 has 8 divisors (see below), whose sum is σ = 13837877406864. Its totient is φ = 6589465431680.

The previous prime is 10131303101261. The next prime is 10131303101377. The reversal of 10131303101331 is 13310130313101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10131303101331 - 2¹⁸ = 10131302839187 is a prime.

It is a super-2 number, since 2×10131303101331² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131303101298 and 10131303101307.

It is not an unprimeable number, because it can be changed into a prime (10131303171331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41184158826 + ... + 41184159071.

It is an arithmetic number, because the mean of its divisors is an integer number (1729734675858).

Almost surely, 2^{10131303101331} is an apocalyptic number.

10131303101331 is a deficient number, since it is larger than the sum of its proper divisors (3706574305533).

10131303101331 is an equidigital number, since it uses as much as digits as its factorization.

10131303101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82368317941.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 10131303101331 its reverse (13310130313101), we get a palindrome (23441433414432).

The spelling of 10131303101331 in words is "ten trillion, one hundred thirty-one billion, three hundred three million, one hundred one thousand, three hundred thirty-one".