311222133120001 has 16 divisors (see below), whose sum is σ = 314488579667328. Its totient is φ = 307977108566400.

The previous prime is 311222133119969. The next prime is 311222133120011. The reversal of 311222133120001 is 100021331222113.

It is a cyclic number.

It is not a de Polignac number, because 311222133120001 - 2⁵ = 311222133119969 is a prime.

It is a super-2 number, since 2×311222133120001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311222133120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23529595 + ... + 34294111.

It is an arithmetic number, because the mean of its divisors is an integer number (19655536229208).

Almost surely, 2^{311222133120001} is an apocalyptic number.

It is an amenable number.

311222133120001 is a deficient number, since it is larger than the sum of its proper divisors (3266446547327).

311222133120001 is a wasteful number, since it uses less digits than its factorization.

311222133120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10765512.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 311222133120001 its reverse (100021331222113), we get a palindrome (411243464342114).

The spelling of 311222133120001 in words is "three hundred eleven trillion, two hundred twenty-two billion, one hundred thirty-three million, one hundred twenty thousand, one".