1313031313003 has 16 divisors (see below), whose sum is σ = 1414033096320. Its totient is φ = 1214675996800.

The previous prime is 1313031312979. The next prime is 1313031313007. The reversal of 1313031313003 is 3003131303131.

It is a cyclic number.

It is not a de Polignac number, because 1313031313003 - 2³³ = 1304441378411 is a prime.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7263708 + ... + 7442278.

It is an arithmetic number, because the mean of its divisors is an integer number (88377068520).

Almost surely, 2^{1313031313003} is an apocalyptic number.

1313031313003 is a deficient number, since it is larger than the sum of its proper divisors (101001783317).

1313031313003 is a wasteful number, since it uses less digits than its factorization.

1313031313003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185978.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 1313031313003 its reverse (3003131303131), we get a palindrome (4316162616134).

The spelling of 1313031313003 in words is "one trillion, three hundred thirteen billion, thirty-one million, three hundred thirteen thousand, three".