4221313000 has 32 divisors (see below), whose sum is σ = 9877874760. Its totient is φ = 1688524800.

The previous prime is 4221312983. The next prime is 4221313001. The reversal of 4221313000 is 3131224.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2652044004 + 1569268996 = 51498^2 + 39614^2 .

It is a super-3 number, since 3×4221313000³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4221313001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2109657 + ... + 2111656.

Almost surely, 2^4221313000 is an apocalyptic number.

4221313000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221313000 is an abundant number, since it is smaller than the sum of its proper divisors (5656561760).

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

4221313000 is a wasteful number, since it uses less digits than its factorization.

4221313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221334 (or 4221320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4221313000 is about 64971.6322713228. The cubic root of 4221313000 is about 1616.1531700141.

Adding to 4221313000 its reverse (3131224), we get a palindrome (4224444224).

The spelling of 4221313000 in words is "four billion, two hundred twenty-one million, three hundred thirteen thousand".