1001123223331 has 16 divisors (see below), whose sum is σ = 1248184700928. Its totient is φ = 780076598400.

The previous prime is 1001123223299. The next prime is 1001123223343. The reversal of 1001123223331 is 1333223211001.

It is not a de Polignac number, because 1001123223331 - 2⁵ = 1001123223299 is a prime.

It is a super-2 number, since 2×1001123223331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001123223391) 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, 3480126 + ... + 3756796.

It is an arithmetic number, because the mean of its divisors is an integer number (78011543808).

Almost surely, 2^{1001123223331} is an apocalyptic number.

1001123223331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001123223331 is a deficient number, since it is larger than the sum of its proper divisors (247061477597).

1001123223331 is a wasteful number, since it uses less digits than its factorization.

1001123223331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323682.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1001123223331 its reverse (1333223211001), we get a palindrome (2334346434332).

The spelling of 1001123223331 in words is "one trillion, one billion, one hundred twenty-three million, two hundred twenty-three thousand, three hundred thirty-one".