11333032121313 has 128 divisors (see below), whose sum is σ = 19857663221760. Its totient is φ = 6253379573760.

The previous prime is 11333032121311. The next prime is 11333032121351. The reversal of 11333032121313 is 31312123033311.

11333032121313 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 0 + 321 + 21 + 313 = 666.

It is not a de Polignac number, because 11333032121313 - 2¹ = 11333032121311 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 (11333032121311) 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 127 ways as a sum of consecutive naturals, for example, 2652240345 + ... + 2652244617.

It is an arithmetic number, because the mean of its divisors is an integer number (155137993920).

Almost surely, 2^{11333032121313} is an apocalyptic number.

It is an amenable number.

11333032121313 is a deficient number, since it is larger than the sum of its proper divisors (8524631100447).

11333032121313 is a wasteful number, since it uses less digits than its factorization.

11333032121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756 (or 7750 counting only the distinct ones).

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

Adding to 11333032121313 its reverse (31312123033311), we get a palindrome (42645155154624).

The spelling of 11333032121313 in words is "eleven trillion, three hundred thirty-three billion, thirty-two million, one hundred twenty-one thousand, three hundred thirteen".