1001334211041 has 24 divisors (see below), whose sum is σ = 1347047301600. Its totient is φ = 661638028800.

The previous prime is 1001334210997. The next prime is 1001334211057. The reversal of 1001334211041 is 1401124331001.

It is not a de Polignac number, because 1001334211041 - 2¹³ = 1001334202849 is a prime.

It is a super-2 number, since 2×1001334211041² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001334210999 and 1001334211017.

It is not an unprimeable number, because it can be changed into a prime (1001334211061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30696646 + ... + 30729248.

It is an arithmetic number, because the mean of its divisors is an integer number (56126970900).

Almost surely, 2^{1001334211041} is an apocalyptic number.

It is an amenable number.

1001334211041 is a deficient number, since it is larger than the sum of its proper divisors (345713090559).

1001334211041 is an equidigital number, since it uses as much as digits as its factorization.

1001334211041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33357 (or 33206 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1001334211041 its reverse (1401124331001), we get a palindrome (2402458542042).

The spelling of 1001334211041 in words is "one trillion, one billion, three hundred thirty-four million, two hundred eleven thousand, forty-one".