221221313120313 has 40 divisors (see below), whose sum is σ = 360541077320160. Its totient is φ = 134061521584320.

The previous prime is 221221313120293. The next prime is 221221313120317. The reversal of 221221313120313 is 313021313122122.

221221313120313 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 1 + 31 + 312 + 0 + 313 = 666.

It is not a de Polignac number, because 221221313120313 - 2⁹ = 221221313119801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221221313120317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1148223 + ... + 21065636.

It is an arithmetic number, because the mean of its divisors is an integer number (9013526933004).

Almost surely, 2^{221221313120313} is an apocalyptic number.

It is an amenable number.

221221313120313 is a deficient number, since it is larger than the sum of its proper divisors (139319764199847).

221221313120313 is a wasteful number, since it uses less digits than its factorization.

221221313120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22225059 (or 22225050 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 221221313120313 its reverse (313021313122122), we get a palindrome (534242626242435).

The spelling of 221221313120313 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, three hundred thirteen million, one hundred twenty thousand, three hundred thirteen".