311142232144401 has 32 divisors (see below), whose sum is σ = 481715912970240. Its totient is φ = 174953368060416.

The previous prime is 311142232144343. The next prime is 311142232144459. The reversal of 311142232144401 is 104441232241113.

It is an interprime number because it is at equal distance from previous prime (311142232144343) and next prime (311142232144459).

It is not a de Polignac number, because 311142232144401 - 2¹¹ = 311142232142353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311142232144201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117712681 + ... + 120326886.

It is an arithmetic number, because the mean of its divisors is an integer number (15053622280320).

Almost surely, 2^{311142232144401} is an apocalyptic number.

It is an amenable number.

311142232144401 is a deficient number, since it is larger than the sum of its proper divisors (170573680825839).

311142232144401 is a wasteful number, since it uses less digits than its factorization.

311142232144401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238040573.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 311142232144401 its reverse (104441232241113), we get a palindrome (415583464385514).

The spelling of 311142232144401 in words is "three hundred eleven trillion, one hundred forty-two billion, two hundred thirty-two million, one hundred forty-four thousand, four hundred one".