311313133011 has 16 divisors (see below), whose sum is σ = 417916066464. Its totient is φ = 206130633984.

The previous prime is 311313132979. The next prime is 311313133039. The reversal of 311313133011 is 110331313113.

It is not a de Polignac number, because 311313133011 - 2⁵ = 311313132979 is a prime.

It is a super-2 number, since 2×311313133011² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311313133051) 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, 283416 + ... + 838421.

It is an arithmetic number, because the mean of its divisors is an integer number (26119754154).

Almost surely, 2^311313133011 is an apocalyptic number.

311313133011 is a deficient number, since it is larger than the sum of its proper divisors (106602933453).

311313133011 is a wasteful number, since it uses less digits than its factorization.

311313133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122470.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 311313133011 its reverse (110331313113), we get a palindrome (421644446124).

The spelling of 311313133011 in words is "three hundred eleven billion, three hundred thirteen million, one hundred thirty-three thousand, eleven".