221133313401000 has 4096 divisors, whose sum is σ = 1009837095321600. Its totient is φ = 38785646592000.

The previous prime is 221133313400941. The next prime is 221133313401001. The reversal of 221133313401000 is 104313331122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221133313401001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 226339112512 + ... + 226339113488.

It is an arithmetic number, because the mean of its divisors is an integer number (246542259600).

Almost surely, 2^{221133313401000} is an apocalyptic number.

221133313401000 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 221133313401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504918547660800).

221133313401000 is an abundant number, since it is smaller than the sum of its proper divisors (788703781920600).

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

221133313401000 is a wasteful number, since it uses less digits than its factorization.

221133313401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 221133313401000 its reverse (104313331122), we get a palindrome (221237626732122).

The spelling of 221133313401000 in words is "two hundred twenty-one trillion, one hundred thirty-three billion, three hundred thirteen million, four hundred one thousand".