133121010232001 has 96 divisors (see below), whose sum is σ = 161978484326400. Its totient is φ = 108807743404800.

The previous prime is 133121010231947. The next prime is 133121010232009. The reversal of 133121010232001 is 100232010121331.

It is a happy number.

It is not a de Polignac number, because 133121010232001 - 2¹⁰ = 133121010230977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133121010232009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19262188736 + ... + 19262195646.

It is an arithmetic number, because the mean of its divisors is an integer number (1687275878400).

Almost surely, 2^{133121010232001} is an apocalyptic number.

133121010232001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133121010232001 is a deficient number, since it is larger than the sum of its proper divisors (28857474094399).

133121010232001 is a wasteful number, since it uses less digits than its factorization.

133121010232001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9771 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 133121010232001 its reverse (100232010121331), we get a palindrome (233353020353332).

The spelling of 133121010232001 in words is "one hundred thirty-three trillion, one hundred twenty-one billion, ten million, two hundred thirty-two thousand, one".