313313301003 has 32 divisors (see below), whose sum is σ = 447604565760. Its totient is φ = 194351667840.

The previous prime is 313313300983. The next prime is 313313301029. The reversal of 313313301003 is 300103313313.

313313301003 is a nontrivial binomial coefficient, being equal to C(791598, 2).

It is not a de Polignac number, because 313313301003 - 2¹⁶ = 313313235467 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313313301073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2308825 + ... + 2440757.

It is an arithmetic number, because the mean of its divisors is an integer number (13987642680).

Almost surely, 2^313313301003 is an apocalyptic number.

313313301003 is the 791597-th triangular number and also the 395799-th hexagonal number.

313313301003 is a deficient number, since it is larger than the sum of its proper divisors (134291264757).

313313301003 is a wasteful number, since it uses less digits than its factorization.

313313301003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132699.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 313313301003 its reverse (300103313313), we get a palindrome (613416614316).

The spelling of 313313301003 in words is "three hundred thirteen billion, three hundred thirteen million, three hundred one thousand, three".