133311201133121 has 48 divisors (see below), whose sum is σ = 148789518343872. Its totient is φ = 118453903027200.

The previous prime is 133311201133043. The next prime is 133311201133181. The reversal of 133311201133121 is 121331102113331.

It is a de Polignac number, because none of the positive numbers 2^k-133311201133121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133311201133181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22060430726 + ... + 22060436768.

It is an arithmetic number, because the mean of its divisors is an integer number (3099781632164).

Almost surely, 2^{133311201133121} is an apocalyptic number.

133311201133121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133311201133121 is a deficient number, since it is larger than the sum of its proper divisors (15478317210751).

133311201133121 is a wasteful number, since it uses less digits than its factorization.

133311201133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 133311201133121 its reverse (121331102113331), we get a palindrome (254642303246452).

The spelling of 133311201133121 in words is "one hundred thirty-three trillion, three hundred eleven billion, two hundred one million, one hundred thirty-three thousand, one hundred twenty-one".