13131303331001 has 4 divisors (see below), whose sum is σ = 13153152422004. Its totient is φ = 13109454240000.

The previous prime is 13131303330997. The next prime is 13131303331007. The reversal of 13131303331001 is 10013330313131.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7503496041001 + 5627807290000 = 2739251^2 + 2372300^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131303331001 - 2² = 13131303330997 is a prime.

It is a super-2 number, since 2×13131303331001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131303331007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10924544600 + ... + 10924545801.

It is an arithmetic number, because the mean of its divisors is an integer number (3288288105501).

Almost surely, 2^{13131303331001} is an apocalyptic number.

It is an amenable number.

13131303331001 is a deficient number, since it is larger than the sum of its proper divisors (21849091003).

13131303331001 is an equidigital number, since it uses as much as digits as its factorization.

13131303331001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21849091002.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 13131303331001 its reverse (10013330313131), we get a palindrome (23144633644132).

The spelling of 13131303331001 in words is "thirteen trillion, one hundred thirty-one billion, three hundred three million, three hundred thirty-one thousand, one".