10313104004 has 96 divisors (see below), whose sum is σ = 22249624320. Its totient is φ = 4088867328.

The previous prime is 10313104003. The next prime is 10313104013. The reversal of 10313104004 is 40040131301.

10313104004 = 172² + 173² + ... + 3139².

10313104004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10313104004² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10313104001) 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 31 ways as a sum of consecutive naturals, for example, 1847762 + ... + 1853334.

It is an arithmetic number, because the mean of its divisors is an integer number (231766920).

Almost surely, 2^10313104004 is an apocalyptic number.

10313104004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11124812160).

10313104004 is an abundant number, since it is smaller than the sum of its proper divisors (11936520316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10313104004 is a wasteful number, since it uses less digits than its factorization.

10313104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10313104004 its reverse (40040131301), we get a palindrome (50353235305).

The spelling of 10313104004 in words is "ten billion, three hundred thirteen million, one hundred four thousand, four".