331214808412133 has 2 divisors, whose sum is σ = 331214808412134. Its totient is φ = 331214808412132.

The previous prime is 331214808412129. The next prime is 331214808412217.

It is a happy number.

331214808412133 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., 184678505584609 + 146536302827524 = 13589647^2 + 12105218^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 331214808412133 - 2² = 331214808412129 is a prime.

It is a super-2 number, since 2×331214808412133² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331214808412333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165607404206066 + 165607404206067.

It is an arithmetic number, because the mean of its divisors is an integer number (165607404206067).

Almost surely, 2^{331214808412133} is an apocalyptic number.

It is an amenable number.

331214808412133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331214808412133 is an equidigital number, since it uses as much as digits as its factorization.

331214808412133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 331214808412133 in words is "three hundred thirty-one trillion, two hundred fourteen billion, eight hundred eight million, four hundred twelve thousand, one hundred thirty-three".