1331000331233 has 8 divisors (see below), whose sum is σ = 1363633403496. Its totient is φ = 1298375337600.

The previous prime is 1331000331197. The next prime is 1331000331259. The reversal of 1331000331233 is 3321330001331.

It can be written as a sum of positive squares in 4 ways, for example, as 306951457024 + 1024048874209 = 554032^2 + 1011953^2 .

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 1331000331233 - 2⁶ = 1331000331169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331000331199 and 1331000331208.

It is not an unprimeable number, because it can be changed into a prime (1331000331433) 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, 1685438 + ... + 2345783.

It is an arithmetic number, because the mean of its divisors is an integer number (170454175437).

Almost surely, 2^{1331000331233} is an apocalyptic number.

It is an amenable number.

1331000331233 is a deficient number, since it is larger than the sum of its proper divisors (32633072263).

1331000331233 is an equidigital number, since it uses as much as digits as its factorization.

1331000331233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039315.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 1331000331233 its reverse (3321330001331), we get a palindrome (4652330332564).

The spelling of 1331000331233 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-one thousand, two hundred thirty-three".