4223100013000 has 192 divisors, whose sum is σ = 10967582021760. Its totient is φ = 1520758800000.

The previous prime is 4223100012973. The next prime is 4223100013091. The reversal of 4223100013000 is 3100013224.

It is a happy number.

It is a super-3 number, since 3×4223100013000³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12293575 + ... + 12632425.

It is an arithmetic number, because the mean of its divisors is an integer number (57122823030).

Almost surely, 2^{4223100013000} is an apocalyptic number.

4223100013000 is a gapful number since it is divisible by the number (40) 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 4223100013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483791010880).

4223100013000 is an abundant number, since it is smaller than the sum of its proper divisors (6744482008760).

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

4223100013000 is a wasteful number, since it uses less digits than its factorization.

4223100013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338997 (or 338972 counting only the distinct ones).

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

Adding to 4223100013000 its reverse (3100013224), we get a palindrome (4226200026224).

The spelling of 4223100013000 in words is "four trillion, two hundred twenty-three billion, one hundred million, thirteen thousand".