311142314000 has 160 divisors (see below), whose sum is σ = 861206641152. Its totient is φ = 106505280000.

The previous prime is 311142313957. The next prime is 311142314011. The reversal of 311142314000 is 413241113.

It is a super-2 number, since 2×311142314000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8816390 + ... + 8851610.

Almost surely, 2^311142314000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311142314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430603320576).

311142314000 is an abundant number, since it is smaller than the sum of its proper divisors (550064327152).

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

311142314000 is a wasteful number, since it uses less digits than its factorization.

311142314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35882 (or 35866 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 311142314000 its reverse (413241113), we get a palindrome (311555555113).

The spelling of 311142314000 in words is "three hundred eleven billion, one hundred forty-two million, three hundred fourteen thousand".