1333131321321 has 64 divisors (see below), whose sum is σ = 2064459882240. Its totient is φ = 849435425280.

The previous prime is 1333131321307. The next prime is 1333131321337. The reversal of 1333131321321 is 1231231313331.

1333131321321 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 1 + 313 + 21 + 321 = 666.

It is not a de Polignac number, because 1333131321321 - 2¹⁵ = 1333131288553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1333131321341) 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 63 ways as a sum of consecutive naturals, for example, 39703486 + ... + 39737048.

It is an arithmetic number, because the mean of its divisors is an integer number (32257185660).

Almost surely, 2^{1333131321321} is an apocalyptic number.

It is an amenable number.

1333131321321 is a deficient number, since it is larger than the sum of its proper divisors (731328560919).

1333131321321 is a wasteful number, since it uses less digits than its factorization.

1333131321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34343 (or 34337 counting only the distinct ones).

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

Adding to 1333131321321 its reverse (1231231313331), we get a palindrome (2564362634652).

The spelling of 1333131321321 in words is "one trillion, three hundred thirty-three billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred twenty-one".