1011331321331 has 8 divisors (see below), whose sum is σ = 1046528914800. Its totient is φ = 976155334560.

The previous prime is 1011331321267. The next prime is 1011331321333. The reversal of 1011331321331 is 1331231331101.

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 1011331321331 - 2⁶ = 1011331321267 is a prime.

It is a super-2 number, since 2×1011331321331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011331321297 and 1011331321306.

It is not an unprimeable number, because it can be changed into a prime (1011331321333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5306405 + ... + 5493686.

It is an arithmetic number, because the mean of its divisors is an integer number (130816114350).

Almost surely, 2^{1011331321331} is an apocalyptic number.

1011331321331 is a deficient number, since it is larger than the sum of its proper divisors (35197593469).

1011331321331 is a wasteful number, since it uses less digits than its factorization.

1011331321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10803349.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1011331321331 its reverse (1331231331101), we get a palindrome (2342562652432).

The spelling of 1011331321331 in words is "one trillion, eleven billion, three hundred thirty-one million, three hundred twenty-one thousand, three hundred thirty-one".