131303313001 has 12 divisors (see below), whose sum is σ = 152811392340. Its totient is φ = 112493525760.

The previous prime is 131303312999. The next prime is 131303313007. The reversal of 131303313001 is 100313303131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51454117225 + 79849195776 = 226835^2 + 282576^2 .

It is not a de Polignac number, because 131303313001 - 2¹ = 131303312999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131303313001.

It is not an unprimeable number, because it can be changed into a prime (131303313007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514116 + ... + 725893.

It is an arithmetic number, because the mean of its divisors is an integer number (12734282695).

Almost surely, 2^131303313001 is an apocalyptic number.

It is an amenable number.

131303313001 is a deficient number, since it is larger than the sum of its proper divisors (21508079339).

131303313001 is a wasteful number, since it uses less digits than its factorization.

131303313001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242184 (or 1242177 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 131303313001 its reverse (100313303131), we get a palindrome (231616616132).

The spelling of 131303313001 in words is "one hundred thirty-one billion, three hundred three million, three hundred thirteen thousand, one".