221312313201 has 64 divisors (see below), whose sum is σ = 355610787840. Its totient is φ = 119695667520.

The previous prime is 221312313199. The next prime is 221312313203. The reversal of 221312313201 is 102313213122.

It is an interprime number because it is at equal distance from previous prime (221312313199) and next prime (221312313203).

It is not a de Polignac number, because 221312313201 - 2¹ = 221312313199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (221312313203) 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 63 ways as a sum of consecutive naturals, for example, 22710136 + ... + 22719878.

It is an arithmetic number, because the mean of its divisors is an integer number (5556418560).

Almost surely, 2^221312313201 is an apocalyptic number.

221312313201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221312313201 is a deficient number, since it is larger than the sum of its proper divisors (134298474639).

221312313201 is a wasteful number, since it uses less digits than its factorization.

221312313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10266.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221312313201 its reverse (102313213122), we get a palindrome (323625526323).

It can be divided in two parts, 22131 and 2313201, that added together give a palindrome (2335332).

The spelling of 221312313201 in words is "two hundred twenty-one billion, three hundred twelve million, three hundred thirteen thousand, two hundred one".