10000120312313 has 8 divisors (see below), whose sum is σ = 10006130828616. Its totient is φ = 9994110105600.

The previous prime is 10000120312309. The next prime is 10000120312327. The reversal of 10000120312313 is 31321302100001.

It can be written as a sum of positive squares in 4 ways, for example, as 512044718329 + 9488075593984 = 715573^2 + 3080272^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10000120312313 - 2² = 10000120312309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10000120312291 and 10000120312300.

It is not an unprimeable number, because it can be changed into a prime (10000120312333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114724895 + ... + 114812027.

It is an arithmetic number, because the mean of its divisors is an integer number (1250766353577).

Almost surely, 2^{10000120312313} is an apocalyptic number.

It is an amenable number.

10000120312313 is a deficient number, since it is larger than the sum of its proper divisors (6010516303).

10000120312313 is an equidigital number, since it uses as much as digits as its factorization.

10000120312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154795.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10000120312313 its reverse (31321302100001), we get a palindrome (41321422412314).

The spelling of 10000120312313 in words is "ten trillion, one hundred twenty million, three hundred twelve thousand, three hundred thirteen".