311213424312113 has 2 divisors, whose sum is σ = 311213424312114. Its totient is φ = 311213424312112.

The previous prime is 311213424312101. The next prime is 311213424312127.

It is a happy number.

311213424312113 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274912714962064 + 36300709350049 = 16580492^2 + 6025007^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 311213424312113 - 2¹⁴ = 311213424295729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311213424312113.

It is not a weakly prime, because it can be changed into another prime (311213424312013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155606712156056 + 155606712156057.

It is an arithmetic number, because the mean of its divisors is an integer number (155606712156057).

Almost surely, 2^{311213424312113} is an apocalyptic number.

It is an amenable number.

311213424312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311213424312113 is an equidigital number, since it uses as much as digits as its factorization.

311213424312113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 32.

The spelling of 311213424312113 in words is "three hundred eleven trillion, two hundred thirteen billion, four hundred twenty-four million, three hundred twelve thousand, one hundred thirteen".