10400002313 has 8 divisors (see below), whose sum is σ = 10655856456. Its totient is φ = 10144252800.

The previous prime is 10400002309. The next prime is 10400002369. The reversal of 10400002313 is 31320000401.

10400002313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 95316169 + 10304686144 = 9763^2 + 101512^2 .

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

It is not a de Polignac number, because 10400002313 - 2² = 10400002309 is a prime.

It is a super-2 number, since 2×10400002313² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10400002213) 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, 198503 + ... + 245363.

It is an arithmetic number, because the mean of its divisors is an integer number (1331982057).

Almost surely, 2^10400002313 is an apocalyptic number.

It is an amenable number.

10400002313 is a deficient number, since it is larger than the sum of its proper divisors (255854143).

10400002313 is an equidigital number, since it uses as much as digits as its factorization.

10400002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52315.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10400002313 its reverse (31320000401), we get a palindrome (41720002714).

The spelling of 10400002313 in words is "ten billion, four hundred million, two thousand, three hundred thirteen".