1001312164241 has 16 divisors (see below), whose sum is σ = 1013353141248. Its totient is φ = 989359170000.

The previous prime is 1001312164219. The next prime is 1001312164267. The reversal of 1001312164241 is 1424612131001.

It is a de Polignac number, because none of the positive numbers 2^k-1001312164241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001312164241.

It is not an unprimeable number, because it can be changed into a prime (1001312164271) 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, 21060506 + ... + 21107996.

It is an arithmetic number, because the mean of its divisors is an integer number (63334571328).

Almost surely, 2^{1001312164241} is an apocalyptic number.

It is an amenable number.

1001312164241 is a deficient number, since it is larger than the sum of its proper divisors (12040977007).

1001312164241 is a wasteful number, since it uses less digits than its factorization.

1001312164241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48412.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 1001312164241 its reverse (1424612131001), we get a palindrome (2425924295242).

The spelling of 1001312164241 in words is "one trillion, one billion, three hundred twelve million, one hundred sixty-four thousand, two hundred forty-one".