3000132122313 has 16 divisors (see below), whose sum is σ = 4002796828800. Its totient is φ = 1998778022400.

The previous prime is 3000132122303. The next prime is 3000132122381. The reversal of 3000132122313 is 3132212310003.

It is not a de Polignac number, because 3000132122313 - 2⁶ = 3000132122249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3000132122313.

It is not an unprimeable number, because it can be changed into a prime (3000132122303) 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 15 ways as a sum of consecutive naturals, for example, 52328763 + ... + 52386063.

It is an arithmetic number, because the mean of its divisors is an integer number (250174801800).

Almost surely, 2^{3000132122313} is an apocalyptic number.

It is an amenable number.

3000132122313 is a deficient number, since it is larger than the sum of its proper divisors (1002664706487).

3000132122313 is a wasteful number, since it uses less digits than its factorization.

3000132122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68432.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3000132122313 its reverse (3132212310003), we get a palindrome (6132344432316).

The spelling of 3000132122313 in words is "three trillion, one hundred thirty-two million, one hundred twenty-two thousand, three hundred thirteen".