10012111123313 has 8 divisors (see below), whose sum is σ = 10782834283368. Its totient is φ = 9241468072704.

The previous prime is 10012111123307. The next prime is 10012111123327. The reversal of 10012111123313 is 31332111121001.

It can be written as a sum of positive squares in 4 ways, for example, as 79957176289 + 9932153947024 = 282767^2 + 3151532^2 .

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 10012111123313 - 2¹⁰ = 10012111122289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012111123303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19767656 + ... + 20267817.

It is an arithmetic number, because the mean of its divisors is an integer number (1347854285421).

Almost surely, 2^{10012111123313} is an apocalyptic number.

10012111123313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10012111123313 is a deficient number, since it is larger than the sum of its proper divisors (770723160055).

10012111123313 is a wasteful number, since it uses less digits than its factorization.

10012111123313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40054723.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10012111123313 its reverse (31332111121001), we get a palindrome (41344222244314).

The spelling of 10012111123313 in words is "ten trillion, twelve billion, one hundred eleven million, one hundred twenty-three thousand, three hundred thirteen".