10000123123313 has 2 divisors, whose sum is σ = 10000123123314. Its totient is φ = 10000123123312.

The previous prime is 10000123123307. The next prime is 10000123123327. The reversal of 10000123123313 is 31332132100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9617298785329 + 382824337984 = 3101177^2 + 618728^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000123123313 - 2⁸ = 10000123123057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000123123363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000061561656 + 5000061561657.

It is an arithmetic number, because the mean of its divisors is an integer number (5000061561657).

Almost surely, 2^{10000123123313} is an apocalyptic number.

It is an amenable number.

10000123123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000123123313 is an equidigital number, since it uses as much as digits as its factorization.

10000123123313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10000123123313 its reverse (31332132100001), we get a palindrome (41332255223314).

The spelling of 10000123123313 in words is "ten trillion, one hundred twenty-three million, one hundred twenty-three thousand, three hundred thirteen".