10004312123307 has 32 divisors (see below), whose sum is σ = 14945213472000. Its totient is φ = 6613848521280.

The previous prime is 10004312123287. The next prime is 10004312123329. The reversal of 10004312123307 is 70332121340001.

It is a happy number.

10004312123307 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 312 + 12 + 330 + 7 = 666.

It is not a de Polignac number, because 10004312123307 - 2⁸ = 10004312123051 is a prime.

It is a super-2 number, since 2×10004312123307² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10004312123207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672207 + ... + 4775447.

It is an arithmetic number, because the mean of its divisors is an integer number (467037921000).

Almost surely, 2^{10004312123307} is an apocalyptic number.

10004312123307 is a deficient number, since it is larger than the sum of its proper divisors (4940901348693).

10004312123307 is a wasteful number, since it uses less digits than its factorization.

10004312123307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104248 (or 3104242 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 10004312123307 its reverse (70332121340001), we get a palindrome (80336433463308).

The spelling of 10004312123307 in words is "ten trillion, four billion, three hundred twelve million, one hundred twenty-three thousand, three hundred seven".