312411121114213 has 6 divisors (see below), whose sum is σ = 343394042216582. Its totient is φ = 284010110103720.

The previous prime is 312411121114193. The next prime is 312411121114223.

It is a happy number.

312411121114213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 157785328155169 + 154625792959044 = 12561263^2 + 12434862^2 .

It is not a de Polignac number, because 312411121114213 - 2⁴¹ = 310212097858661 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 (312411121114223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1290955045806 + ... + 1290955046047.

Almost surely, 2^{312411121114213} is an apocalyptic number.

It is an amenable number.

312411121114213 is a deficient number, since it is larger than the sum of its proper divisors (30982921102369).

312411121114213 is a wasteful number, since it uses less digits than its factorization.

312411121114213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581910091875 (or 2581910091864 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The spelling of 312411121114213 in words is "three hundred twelve trillion, four hundred eleven billion, one hundred twenty-one million, one hundred fourteen thousand, two hundred thirteen".