2213133201000 has 192 divisors, whose sum is σ = 7482588094800. Its totient is φ = 589995456000.

The previous prime is 2213133200977. The next prime is 2213133201023. The reversal of 2213133201000 is 1023313122.

2213133201000 is a `hidden beast` number, since 2 + 21 + 313 + 320 + 10 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2213133200977) and next prime (2213133201023).

It can be written as a sum of positive squares in 8 ways, for example, as 1090800603396 + 1122332597604 = 1044414^2 + 1059402^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 32194666 + ... + 32263334.

Almost surely, 2^{2213133201000} is an apocalyptic number.

2213133201000 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 2213133201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741294047400).

2213133201000 is an abundant number, since it is smaller than the sum of its proper divisors (5269454893800).

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

2213133201000 is a wasteful number, since it uses less digits than its factorization.

2213133201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72277 (or 72260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2213133201000 its reverse (1023313122), we get a palindrome (2214156514122).

The spelling of 2213133201000 in words is "two trillion, two hundred thirteen billion, one hundred thirty-three million, two hundred one thousand".