10312123122013 has 8 divisors (see below), whose sum is σ = 10555545103488. Its totient is φ = 10068865011744.

The previous prime is 10312123121983. The next prime is 10312123122061. The reversal of 10312123122013 is 31022132121301.

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 10312123122013 - 2²¹ = 10312121024861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312123122113) 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, 40840456 + ... + 41092177.

It is an arithmetic number, because the mean of its divisors is an integer number (1319443137936).

Almost surely, 2^{10312123122013} is an apocalyptic number.

It is an amenable number.

10312123122013 is a deficient number, since it is larger than the sum of its proper divisors (243421981475).

10312123122013 is an equidigital number, since it uses as much as digits as its factorization.

10312123122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81935603.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10312123122013 its reverse (31022132121301), we get a palindrome (41334255243314).

The spelling of 10312123122013 in words is "ten trillion, three hundred twelve billion, one hundred twenty-three million, one hundred twenty-two thousand, thirteen".