1311132321333 has 6 divisors (see below), whose sum is σ = 1893857797494. Its totient is φ = 874088214216.

The previous prime is 1311132321313. The next prime is 1311132321371. The reversal of 1311132321333 is 3331232311131.

1311132321333 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 3 + 2 + 321 + 333 = 666.

It can be written as a sum of positive squares in only one way, i.e., 934930418724 + 376201902609 = 966918^2 + 613353^2 .

It is not a de Polignac number, because 1311132321333 - 2⁶ = 1311132321269 is a prime.

It is a super-2 number, since 2×1311132321333² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311132321297 and 1311132321306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311132321313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72840684510 + ... + 72840684527.

It is an arithmetic number, because the mean of its divisors is an integer number (315642966249).

Almost surely, 2^{1311132321333} is an apocalyptic number.

It is an amenable number.

1311132321333 is a deficient number, since it is larger than the sum of its proper divisors (582725476161).

1311132321333 is a wasteful number, since it uses less digits than its factorization.

1311132321333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145681369043 (or 145681369040 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 1311132321333 its reverse (3331232311131), we get a palindrome (4642364632464).

The spelling of 1311132321333 in words is "one trillion, three hundred eleven billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred thirty-three".