311133134134401 has 16 divisors (see below), whose sum is σ = 416635834852800. Its totient is φ = 206527185436608.

The previous prime is 311133134134373. The next prime is 311133134134421. The reversal of 311133134134401 is 104431431331113.

It is not a de Polignac number, because 311133134134401 - 2⁵ = 311133134134369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311133134134421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114154291 + ... + 116848056.

It is an arithmetic number, because the mean of its divisors is an integer number (26039739678300).

Almost surely, 2^{311133134134401} is an apocalyptic number.

It is an amenable number.

311133134134401 is a deficient number, since it is larger than the sum of its proper divisors (105502700718399).

311133134134401 is a wasteful number, since it uses less digits than its factorization.

311133134134401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231004288.

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 311133134134401 its reverse (104431431331113), we get a palindrome (415564565465514).

The spelling of 311133134134401 in words is "three hundred eleven trillion, one hundred thirty-three billion, one hundred thirty-four million, one hundred thirty-four thousand, four hundred one".