10003412313 has 12 divisors (see below), whose sum is σ = 14455661220. Its totient is φ = 6666039456.

The previous prime is 10003412311. The next prime is 10003412329. The reversal of 10003412313 is 31321430001.

10003412313 is a `hidden beast` number, since 10 + 0 + 0 + 341 + 2 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8582725449 + 1420686864 = 92643^2 + 37692^2 .

It is not a de Polignac number, because 10003412313 - 2¹ = 10003412311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10003412311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219906 + ... + 261467.

It is an arithmetic number, because the mean of its divisors is an integer number (1204638435).

Almost surely, 2^10003412313 is an apocalyptic number.

It is an amenable number.

10003412313 is a deficient number, since it is larger than the sum of its proper divisors (4452248907).

10003412313 is a wasteful number, since it uses less digits than its factorization.

10003412313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483688 (or 483685 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10003412313 its reverse (31321430001), we get a palindrome (41324842314).

The spelling of 10003412313 in words is "ten billion, three million, four hundred twelve thousand, three hundred thirteen".