201033312133 has 48 divisors (see below), whose sum is σ = 227365943760. Its totient is φ = 177422336000.

The previous prime is 201033312113. The next prime is 201033312149. The reversal of 201033312133 is 331213330102.

It can be written as a sum of positive squares in 24 ways, for example, as 1316383524 + 199716928609 = 36282^2 + 446897^2 .

It is not a de Polignac number, because 201033312133 - 2¹⁷ = 201033181061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201033312113) 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, 44861253 + ... + 44865733.

It is an arithmetic number, because the mean of its divisors is an integer number (4736790495).

Almost surely, 2^201033312133 is an apocalyptic number.

It is an amenable number.

201033312133 is a deficient number, since it is larger than the sum of its proper divisors (26332631627).

201033312133 is a wasteful number, since it uses less digits than its factorization.

201033312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 201033312133 its reverse (331213330102), we get a palindrome (532246642235).

The spelling of 201033312133 in words is "two hundred one billion, thirty-three million, three hundred twelve thousand, one hundred thirty-three".