114004204122331 has 2 divisors, whose sum is σ = 114004204122332. Its totient is φ = 114004204122330.

The previous prime is 114004204122329. The next prime is 114004204122433. The reversal of 114004204122331 is 133221402400411.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 114004204122331 - 2¹ = 114004204122329 is a prime.

It is a super-2 number, since 2×114004204122331² (a number of 29 digits) contains 22 as substring.

Together with 114004204122329, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 114004204122331.

It is not a weakly prime, because it can be changed into another prime (114004204122931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57002102061165 + 57002102061166.

It is an arithmetic number, because the mean of its divisors is an integer number (57002102061166).

Almost surely, 2^{114004204122331} is an apocalyptic number.

114004204122331 is a deficient number, since it is larger than the sum of its proper divisors (1).

114004204122331 is an equidigital number, since it uses as much as digits as its factorization.

114004204122331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 114004204122331 its reverse (133221402400411), we get a palindrome (247225606522742).

The spelling of 114004204122331 in words is "one hundred fourteen trillion, four billion, two hundred four million, one hundred twenty-two thousand, three hundred thirty-one".