312002121200213 has 8 divisors (see below), whose sum is σ = 312033282494976. Its totient is φ = 311970960932400.

The previous prime is 312002121200183. The next prime is 312002121200227.

312002121200213 is nontrivially palindromic in base 10.

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 312002121200213 - 2¹⁴ = 312002121183829 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 (312002121208213) 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, 700857008 + ... + 701302038.

It is an arithmetic number, because the mean of its divisors is an integer number (39004160311872).

Almost surely, 2^{312002121200213} is an apocalyptic number.

It is an amenable number.

312002121200213 is a deficient number, since it is larger than the sum of its proper divisors (31161294763).

312002121200213 is a wasteful number, since it uses less digits than its factorization.

312002121200213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513475.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 312002121200213 in words is "three hundred twelve trillion, two billion, one hundred twenty-one million, two hundred thousand, two hundred thirteen".