1101111133001 has 32 divisors (see below), whose sum is σ = 1261207791360. Its totient is φ = 951557939200.

The previous prime is 1101111132973. The next prime is 1101111133007. The reversal of 1101111133001 is 1003311111011.

It is not a de Polignac number, because 1101111133001 - 2¹⁴ = 1101111116617 is a prime.

It is a super-2 number, since 2×1101111133001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101111133007) 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 31 ways as a sum of consecutive naturals, for example, 164611865 + ... + 164618553.

It is an arithmetic number, because the mean of its divisors is an integer number (39412743480).

Almost surely, 2^{1101111133001} is an apocalyptic number.

1101111133001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101111133001 is a deficient number, since it is larger than the sum of its proper divisors (160096658359).

1101111133001 is a wasteful number, since it uses less digits than its factorization.

1101111133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10657.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1101111133001 its reverse (1003311111011), we get a palindrome (2104422244012).

The spelling of 1101111133001 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred thirty-three thousand, one".