312014101410213 has 8 divisors (see below), whose sum is σ = 440490496108608. Its totient is φ = 195773553825984.

The previous prime is 312014101410203. The next prime is 312014101410287.

312014101410213 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 312014101410213 - 2¹⁰ = 312014101409189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312014101410203) 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, 3058961778481 + ... + 3058961778582.

It is an arithmetic number, because the mean of its divisors is an integer number (55061312013576).

Almost surely, 2^{312014101410213} is an apocalyptic number.

It is an amenable number.

312014101410213 is a deficient number, since it is larger than the sum of its proper divisors (128476394698395).

312014101410213 is a wasteful number, since it uses less digits than its factorization.

312014101410213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117923557083.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 31201410 and 1410213, that added together give a palindrome (32611623).

The spelling of 312014101410213 in words is "three hundred twelve trillion, fourteen billion, one hundred one million, four hundred ten thousand, two hundred thirteen".