311332141101361 has 2 divisors, whose sum is σ = 311332141101362. Its totient is φ = 311332141101360.

The previous prime is 311332141101353. The next prime is 311332141101407. The reversal of 311332141101361 is 163101141233113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202082401993761 + 109249739107600 = 14215569^2 + 10452260^2 .

It is a cyclic number.

It is not a de Polignac number, because 311332141101361 - 2³ = 311332141101353 is a prime.

It is not a weakly prime, because it can be changed into another prime (311332148101361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155666070550680 + 155666070550681.

It is an arithmetic number, because the mean of its divisors is an integer number (155666070550681).

Almost surely, 2^{311332141101361} is an apocalyptic number.

It is an amenable number.

311332141101361 is a deficient number, since it is larger than the sum of its proper divisors (1).

311332141101361 is an equidigital number, since it uses as much as digits as its factorization.

311332141101361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

Adding to 311332141101361 its reverse (163101141233113), we get a palindrome (474433282334474).

The spelling of 311332141101361 in words is "three hundred eleven trillion, three hundred thirty-two billion, one hundred forty-one million, one hundred one thousand, three hundred sixty-one".