312012110100013 has 4 divisors (see below), whose sum is σ = 312035261564860. Its totient is φ = 311988958635168.

The previous prime is 312012110100007. The next prime is 312012110100029. The reversal of 312012110100013 is 310001011210213.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 106578740395204 + 205433369704809 = 10323698^2 + 14332947^2 .

It is a cyclic number.

It is not a de Polignac number, because 312012110100013 - 2¹⁷ = 312012109968941 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312012110100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312012110109013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11575712208 + ... + 11575739161.

It is an arithmetic number, because the mean of its divisors is an integer number (78008815391215).

Almost surely, 2^{312012110100013} is an apocalyptic number.

It is an amenable number.

312012110100013 is a deficient number, since it is larger than the sum of its proper divisors (23151464847).

312012110100013 is a wasteful number, since it uses less digits than its factorization.

312012110100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23151464846.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 312012110100013 its reverse (310001011210213), we get a palindrome (622013121310226).

The spelling of 312012110100013 in words is "three hundred twelve trillion, twelve billion, one hundred ten million, one hundred thousand, thirteen".