3001131213011 has 16 divisors (see below), whose sum is σ = 3230378860800. Its totient is φ = 2779545391200.

The previous prime is 3001131213001. The next prime is 3001131213023. The reversal of 3001131213011 is 1103121311003.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3001131213011 is a prime.

It is a super-2 number, since 2×3001131213011² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3001131213001) 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, 7192655 + ... + 7598456.

It is an arithmetic number, because the mean of its divisors is an integer number (201898678800).

Almost surely, 2^{3001131213011} is an apocalyptic number.

3001131213011 is a deficient number, since it is larger than the sum of its proper divisors (229247647789).

3001131213011 is a wasteful number, since it uses less digits than its factorization.

3001131213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14791370.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 3001131213011 its reverse (1103121311003), we get a palindrome (4104252524014).

The spelling of 3001131213011 in words is "three trillion, one billion, one hundred thirty-one million, two hundred thirteen thousand, eleven".