301313213000 has 128 divisors (see below), whose sum is σ = 714503013120. Its totient is φ = 118921881600.

The previous prime is 301313212979. The next prime is 301313213011. The reversal of 301313213000 is 312313103.

It is a self number, because there is not a number n which added to its sum of digits gives 301313213000.

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, 29143832 + ... + 29154168.

It is an arithmetic number, because the mean of its divisors is an integer number (5582054790).

Almost surely, 2^301313213000 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 301313213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357251506560).

301313213000 is an abundant number, since it is smaller than the sum of its proper divisors (413189800120).

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

301313213000 is a wasteful number, since it uses less digits than its factorization.

301313213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10744 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 301313213000 its reverse (312313103), we get a palindrome (301625526103).

The spelling of 301313213000 in words is "three hundred one billion, three hundred thirteen million, two hundred thirteen thousand".