311400414101089 has 2 divisors, whose sum is σ = 311400414101090. Its totient is φ = 311400414101088.

The previous prime is 311400414100903. The next prime is 311400414101093. The reversal of 311400414101089 is 980101414004113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254820306200464 + 56580107900625 = 15963092^2 + 7521975^2 .

It is an emirp because it is prime and its reverse (980101414004113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311400414101089 - 2¹¹ = 311400414099041 is a prime.

It is not a weakly prime, because it can be changed into another prime (311400414101489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155700207050544 + 155700207050545.

It is an arithmetic number, because the mean of its divisors is an integer number (155700207050545).

Almost surely, 2^{311400414101089} is an apocalyptic number.

It is an amenable number.

311400414101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

311400414101089 is an equidigital number, since it uses as much as digits as its factorization.

311400414101089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 311400414101089 in words is "three hundred eleven trillion, four hundred billion, four hundred fourteen million, one hundred one thousand, eighty-nine".