1100331122331 has 16 divisors (see below), whose sum is σ = 1692365094144. Its totient is φ = 622884372384.

The previous prime is 1100331122321. The next prime is 1100331122339. The reversal of 1100331122331 is 1332211330011.

It is a happy number.

It is not a de Polignac number, because 1100331122331 - 2²⁶ = 1100264013467 is a prime.

It is a super-2 number, since 2×1100331122331² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1100331122298 and 1100331122307.

It is not an unprimeable number, because it can be changed into a prime (1100331122339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244842240 + ... + 244846733.

It is an arithmetic number, because the mean of its divisors is an integer number (105772818384).

Almost surely, 2^{1100331122331} is an apocalyptic number.

1100331122331 is a deficient number, since it is larger than the sum of its proper divisors (592033971813).

1100331122331 is a wasteful number, since it uses less digits than its factorization.

1100331122331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489689090.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1100331122331 its reverse (1332211330011), we get a palindrome (2432542452342).

The spelling of 1100331122331 in words is "one trillion, one hundred billion, three hundred thirty-one million, one hundred twenty-two thousand, three hundred thirty-one".