2231313000 has 384 divisors, whose sum is σ = 8310107520. Its totient is φ = 496742400.

The previous prime is 2231312969. The next prime is 2231313023. The reversal of 2231313000 is 3131322.

It is a super-3 number, since 3×2231313000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6320824 + ... + 6321176.

It is an arithmetic number, because the mean of its divisors is an integer number (21640905).

Almost surely, 2^2231313000 is an apocalyptic number.

2231313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155053760).

2231313000 is an abundant number, since it is smaller than the sum of its proper divisors (6078794520).

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

2231313000 is a wasteful number, since it uses less digits than its factorization.

2231313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2231313000 is about 47236.7759272370. The cubic root of 2231313000 is about 1306.7329189763.

Adding to 2231313000 its reverse (3131322), we get a palindrome (2234444322).

The spelling of 2231313000 in words is "two billion, two hundred thirty-one million, three hundred thirteen thousand".