133102444201331 has 24 divisors (see below), whose sum is σ = 151064012639232. Its totient is φ = 117066448263600.

The previous prime is 133102444201261. The next prime is 133102444201427.

133102444201331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133102444201331 - 2²⁶ = 133102377092467 is a prime.

It is a super-2 number, since 2×133102444201331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133102444201031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8611016 + ... + 18448698.

It is an arithmetic number, because the mean of its divisors is an integer number (6294333859968).

Almost surely, 2^{133102444201331} is an apocalyptic number.

133102444201331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133102444201331 is a deficient number, since it is larger than the sum of its proper divisors (17961568437901).

133102444201331 is a wasteful number, since it uses less digits than its factorization.

133102444201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9841343 (or 9841332 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 133102444201331 in words is "one hundred thirty-three trillion, one hundred two billion, four hundred forty-four million, two hundred one thousand, three hundred thirty-one".