1331106011331 has 8 divisors (see below), whose sum is σ = 1774989101760. Its totient is φ = 887313464232.

The previous prime is 1331106011303. The next prime is 1331106011377.

1331106011331 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 1331106011331 - 2¹¹ = 1331106009283 is a prime.

It is a super-3 number, since 3×1331106011331³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1331106011531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22601521 + ... + 22660338.

It is an arithmetic number, because the mean of its divisors is an integer number (221873637720).

Almost surely, 2^{1331106011331} is an apocalyptic number.

1331106011331 is a deficient number, since it is larger than the sum of its proper divisors (443883090429).

1331106011331 is an equidigital number, since it uses as much as digits as its factorization.

1331106011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45271665.

The product of its (nonzero) digits is 486, while the sum is 24.

The spelling of 1331106011331 in words is "one trillion, three hundred thirty-one billion, one hundred six million, eleven thousand, three hundred thirty-one".