311140031020 has 288 divisors, whose sum is σ = 837138290688. Its totient is φ = 94529673216.

The previous prime is 311140031011. The next prime is 311140031021. The reversal of 311140031020 is 20130041113.

It is a junction number, because it is equal to n+sod(n) for n = 311140030985 and 311140031003.

It is not an unprimeable number, because it can be changed into a prime (311140031021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1335364824 + ... + 1335365056.

It is an arithmetic number, because the mean of its divisors is an integer number (2906730176).

Almost surely, 2^311140031020 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 311140031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418569145344).

311140031020 is an abundant number, since it is smaller than the sum of its proper divisors (525998259668).

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

311140031020 is a wasteful number, since it uses less digits than its factorization.

311140031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 311140031020 its reverse (20130041113), we get a palindrome (331270072133).

The spelling of 311140031020 in words is "three hundred eleven billion, one hundred forty million, thirty-one thousand, twenty".