312011343110213 has 8 divisors (see below), whose sum is σ = 315103986990840. Its totient is φ = 308918766340800.

The previous prime is 312011343110183. The next prime is 312011343110219.

312011343110213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 267352355933569 + 44658987176644 = 16350913^2 + 6682738^2 .

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 312011343110213 - 2¹⁰ = 312011343109189 is a prime.

It is a super-2 number, since 2×312011343110213² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312011343110219) 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, 7407578 + ... + 26055611.

It is an arithmetic number, because the mean of its divisors is an integer number (39387998373855).

Almost surely, 2^{312011343110213} is an apocalyptic number.

It is an amenable number.

312011343110213 is a deficient number, since it is larger than the sum of its proper divisors (3092643880627).

312011343110213 is a wasteful number, since it uses less digits than its factorization.

312011343110213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33555607.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 312011343110213 in words is "three hundred twelve trillion, eleven billion, three hundred forty-three million, one hundred ten thousand, two hundred thirteen".