221313001 has 16 divisors (see below), whose sum is σ = 277530624. Its totient is φ = 171797184.

The previous prime is 221312977. The next prime is 221313011. The reversal of 221313001 is 100313122.

It is not a de Polignac number, because 221313001 - 2⁹ = 221312489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (221313011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18121 + ... + 27766.

It is an arithmetic number, because the mean of its divisors is an integer number (17345664).

Almost surely, 2^221313001 is an apocalyptic number.

It is an amenable number.

221313001 is a deficient number, since it is larger than the sum of its proper divisors (56217623).

221313001 is a wasteful number, since it uses less digits than its factorization.

221313001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45960.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 221313001 is about 14876.5923853549. The cubic root of 221313001 is about 604.8796527690.

Adding to 221313001 its reverse (100313122), we get a palindrome (321626123).

The spelling of 221313001 in words is "two hundred twenty-one million, three hundred thirteen thousand, one".