311300213000 has 128 divisors (see below), whose sum is σ = 835676075520. Its totient is φ = 106325049600.

The previous prime is 311300212999. The next prime is 311300213009. The reversal of 311300213000 is 312003113.

It is a super-2 number, since 2×311300213000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (311300213009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756454 + ... + 1925546.

It is an arithmetic number, because the mean of its divisors is an integer number (6528719340).

Almost surely, 2^311300213000 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 311300213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417838037760).

311300213000 is an abundant number, since it is smaller than the sum of its proper divisors (524375862520).

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

311300213000 is a wasteful number, since it uses less digits than its factorization.

311300213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169384 (or 169370 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 311300213000 its reverse (312003113), we get a palindrome (311612216113).

The spelling of 311300213000 in words is "three hundred eleven billion, three hundred million, two hundred thirteen thousand".