133038258001 has 64 divisors (see below), whose sum is σ = 165008793600. Its totient is φ = 105806131200.

The previous prime is 133038257959. The next prime is 133038258013. The reversal of 133038258001 is 100852830331.

It is not a de Polignac number, because 133038258001 - 2¹¹ = 133038255953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133038258061) 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, 19113960 + ... + 19120918.

It is an arithmetic number, because the mean of its divisors is an integer number (2578262400).

Almost surely, 2^133038258001 is an apocalyptic number.

133038258001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133038258001 is a deficient number, since it is larger than the sum of its proper divisors (31970535599).

133038258001 is a wasteful number, since it uses less digits than its factorization.

133038258001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 133038258001 in words is "one hundred thirty-three billion, thirty-eight million, two hundred fifty-eight thousand, one".