1101311322331 has 8 divisors (see below), whose sum is σ = 1229370778944. Its totient is φ = 977908573320.

The previous prime is 1101311322281. The next prime is 1101311322403. The reversal of 1101311322331 is 1332231131011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1101311322331 - 2¹⁵ = 1101311289563 is a prime.

It is a super-2 number, since 2×1101311322331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101311322131) 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 7 ways as a sum of consecutive naturals, for example, 1164176401 + ... + 1164177346.

It is an arithmetic number, because the mean of its divisors is an integer number (153671347368).

Almost surely, 2^{1101311322331} is an apocalyptic number.

1101311322331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101311322331 is a deficient number, since it is larger than the sum of its proper divisors (128059456613).

1101311322331 is a wasteful number, since it uses less digits than its factorization.

1101311322331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328353801.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1101311322331 its reverse (1332231131011), we get a palindrome (2433542453342).

The spelling of 1101311322331 in words is "one trillion, one hundred one billion, three hundred eleven million, three hundred twenty-two thousand, three hundred thirty-one".