3001101322320 has 120 divisors (see below), whose sum is σ = 10079055946752. Its totient is φ = 800265312000.

The previous prime is 3001101322279. The next prime is 3001101322333. The reversal of 3001101322320 is 232231011003.

3001101322320 is a `hidden beast` number, since 300 + 1 + 1 + 0 + 132 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3001101322293 and 3001101322302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27269805 + ... + 27379635.

Almost surely, 2^{3001101322320} is an apocalyptic number.

3001101322320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001101322320 is an abundant number, since it is smaller than the sum of its proper divisors (7077954624432).

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

3001101322320 is a wasteful number, since it uses less digits than its factorization.

3001101322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147801 (or 147792 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3001101322320 its reverse (232231011003), we get a palindrome (3233332333323).

The spelling of 3001101322320 in words is "three trillion, one billion, one hundred one million, three hundred twenty-two thousand, three hundred twenty".