3001111322131 has 16 divisors (see below), whose sum is σ = 3304834634304. Its totient is φ = 2708175210624.

The previous prime is 3001111322129. The next prime is 3001111322137. The reversal of 3001111322131 is 1312231111003.

It is not a de Polignac number, because 3001111322131 - 2¹ = 3001111322129 is a prime.

It is a super-2 number, since 2×3001111322131² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3001111322099 and 3001111322108.

It is not an unprimeable number, because it can be changed into a prime (3001111322137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7671511 + ... + 8053216.

It is an arithmetic number, because the mean of its divisors is an integer number (206552164644).

Almost surely, 2^{3001111322131} is an apocalyptic number.

3001111322131 is a deficient number, since it is larger than the sum of its proper divisors (303723312173).

3001111322131 is a wasteful number, since it uses less digits than its factorization.

3001111322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15725070.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 3001111322131 its reverse (1312231111003), we get a palindrome (4313342433134).

The spelling of 3001111322131 in words is "three trillion, one billion, one hundred eleven million, three hundred twenty-two thousand, one hundred thirty-one".