1313031313001 has 8 divisors (see below), whose sum is σ = 1337822687880. Its totient is φ = 1288240575232.

The previous prime is 1313031312979. The next prime is 1313031313007. The reversal of 1313031313001 is 1003131303131.

It can be written as a sum of positive squares in 4 ways, for example, as 452997648601 + 860033664400 = 673051^2 + 927380^2 .

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 1313031313001 - 2³⁸ = 1038153406057 is a prime.

It is a super-2 number, since 2×1313031313001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313031313007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7064801 + ... + 7248273.

It is an arithmetic number, because the mean of its divisors is an integer number (167227835985).

Almost surely, 2^{1313031313001} is an apocalyptic number.

It is an amenable number.

1313031313001 is a deficient number, since it is larger than the sum of its proper divisors (24791374879).

1313031313001 is a wasteful number, since it uses less digits than its factorization.

1313031313001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318555.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 1313031313001 its reverse (1003131303131), we get a palindrome (2316162616132).

The spelling of 1313031313001 in words is "one trillion, three hundred thirteen billion, thirty-one million, three hundred thirteen thousand, one".