311133121120 has 48 divisors (see below), whose sum is σ = 739113128208. Its totient is φ = 123765649920.

The previous prime is 311133121073. The next prime is 311133121121. The reversal of 311133121120 is 21121331113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311133121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5342814 + ... + 5400733.

It is an arithmetic number, because the mean of its divisors is an integer number (15398190171).

Almost surely, 2^311133121120 is an apocalyptic number.

It is an amenable number.

311133121120 is an abundant number, since it is smaller than the sum of its proper divisors (427980007088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311133121120 is a wasteful number, since it uses less digits than its factorization.

311133121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10743743 (or 10743735 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 311133121120 its reverse (21121331113), we get a palindrome (332254452233).

The spelling of 311133121120 in words is "three hundred eleven billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty".