313010003013 has 8 divisors (see below), whose sum is σ = 419078400576. Its totient is φ = 207807470400.

The previous prime is 313010002967. The next prime is 313010003039. The reversal of 313010003013 is 310300010313.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 313010003013 - 2¹⁶ = 313009937477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313010002983 and 313010003001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313010003093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216465393 + ... + 216466838.

It is an arithmetic number, because the mean of its divisors is an integer number (52384800072).

Almost surely, 2^313010003013 is an apocalyptic number.

It is an amenable number.

313010003013 is a deficient number, since it is larger than the sum of its proper divisors (106068397563).

313010003013 is a wasteful number, since it uses less digits than its factorization.

313010003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432932475.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 313010003013 its reverse (310300010313), we get a palindrome (623310013326).

The spelling of 313010003013 in words is "three hundred thirteen billion, ten million, three thousand, thirteen".