38133033201 has 32 divisors (see below), whose sum is σ = 56727390720. Its totient is φ = 25316883072.

The previous prime is 38133033199. The next prime is 38133033259. The reversal of 38133033201 is 10233033183.

38133033201 is a `hidden beast` number, since 3 + 8 + 1 + 330 + 3 + 320 + 1 = 666.

It is not a de Polignac number, because 38133033201 - 2¹ = 38133033199 is a prime.

It is a super-2 number, since 2×38133033201² (a number of 22 digits) contains 22 as substring.

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 (38133013201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16672680 + ... + 16674966.

It is an arithmetic number, because the mean of its divisors is an integer number (1772730960).

Almost surely, 2^38133033201 is an apocalyptic number.

It is an amenable number.

38133033201 is a deficient number, since it is larger than the sum of its proper divisors (18594357519).

38133033201 is a wasteful number, since it uses less digits than its factorization.

38133033201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 38133033201 its reverse (10233033183), we get a palindrome (48366066384).

The spelling of 38133033201 in words is "thirty-eight billion, one hundred thirty-three million, thirty-three thousand, two hundred one".