320113222101 has 64 divisors (see below), whose sum is σ = 513556070400. Its totient is φ = 196593566400.

The previous prime is 320113222073. The next prime is 320113222111. The reversal of 320113222101 is 101222311023.

320113222101 is a `hidden beast` number, since 320 + 1 + 1 + 322 + 21 + 0 + 1 = 666.

It is not a de Polignac number, because 320113222101 - 2¹⁷ = 320113091029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320113222111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1630510 + ... + 1816256.

It is an arithmetic number, because the mean of its divisors is an integer number (8024313600).

Almost surely, 2^320113222101 is an apocalyptic number.

320113222101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

320113222101 is a deficient number, since it is larger than the sum of its proper divisors (193442848299).

320113222101 is a wasteful number, since it uses less digits than its factorization.

320113222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185887 (or 185881 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 320113222101 its reverse (101222311023), we get a palindrome (421335533124).

The spelling of 320113222101 in words is "three hundred twenty billion, one hundred thirteen million, two hundred twenty-two thousand, one hundred one".