311213000 has 128 divisors (see below), whose sum is σ = 868907520. Its totient is φ = 102009600.

The previous prime is 311212997. The next prime is 311213047. The reversal of 311213000 is 312113.

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, 160034 + ... + 161966.

It is an arithmetic number, because the mean of its divisors is an integer number (6788340).

Almost surely, 2^311213000 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 311213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434453760).

311213000 is an abundant number, since it is smaller than the sum of its proper divisors (557694520).

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

311213000 is a wasteful number, since it uses less digits than its factorization.

311213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 311213000 is about 17641.2301158394. The cubic root of 311213000 is about 677.6715342044.

Adding to 311213000 its reverse (312113), we get a palindrome (311525113).

The spelling of 311213000 in words is "three hundred eleven million, two hundred thirteen thousand".