312041202140213 has 16 divisors (see below), whose sum is σ = 387779358011136. Its totient is φ = 244492754555520.

The previous prime is 312041202140197. The next prime is 312041202140233.

It is a happy number.

312041202140213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312041202140213 - 2⁴ = 312041202140197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312041202140233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16645739168 + ... + 16645757913.

It is an arithmetic number, because the mean of its divisors is an integer number (24236209875696).

Almost surely, 2^{312041202140213} is an apocalyptic number.

It is an amenable number.

312041202140213 is a deficient number, since it is larger than the sum of its proper divisors (75738155870923).

312041202140213 is a wasteful number, since it uses less digits than its factorization.

312041202140213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33291497204.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 31204120 and 2140213, that added together give a palindrome (33344333).

The spelling of 312041202140213 in words is "three hundred twelve trillion, forty-one billion, two hundred two million, one hundred forty thousand, two hundred thirteen".