1101101331231 has 96 divisors (see below), whose sum is σ = 1846331884800. Its totient is φ = 624940323840.

The previous prime is 1101101331221. The next prime is 1101101331247. The reversal of 1101101331231 is 1321331011011.

1101101331231 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 101 + 331 + 231 = 666.

It is not a de Polignac number, because 1101101331231 - 2²⁷ = 1100967113503 is a prime.

It is a super-2 number, since 2×1101101331231² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101331221) 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 95 ways as a sum of consecutive naturals, for example, 660527860 + ... + 660529526.

It is an arithmetic number, because the mean of its divisors is an integer number (19232623800).

Almost surely, 2^{1101101331231} is an apocalyptic number.

1101101331231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101101331231 is a deficient number, since it is larger than the sum of its proper divisors (745230553569).

1101101331231 is a wasteful number, since it uses less digits than its factorization.

1101101331231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1101101331231 its reverse (1321331011011), we get a palindrome (2422432342242).

The spelling of 1101101331231 in words is "one trillion, one hundred one billion, one hundred one million, three hundred thirty-one thousand, two hundred thirty-one".