133013132331201 has 64 divisors (see below), whose sum is σ = 201798310348800. Its totient is φ = 86570390692800.

The previous prime is 133013132331197. The next prime is 133013132331241. The reversal of 133013132331201 is 102133231310331.

133013132331201 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 131 + 323 + 3 + 1 + 201 = 666.

It is not a de Polignac number, because 133013132331201 - 2² = 133013132331197 is a prime.

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 (133013132331241) 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 63 ways as a sum of consecutive naturals, for example, 78849310 + ... + 80518568.

It is an arithmetic number, because the mean of its divisors is an integer number (3153098599200).

Almost surely, 2^{133013132331201} is an apocalyptic number.

It is an amenable number.

133013132331201 is a deficient number, since it is larger than the sum of its proper divisors (68785178017599).

133013132331201 is a wasteful number, since it uses less digits than its factorization.

133013132331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669747 (or 1669741 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133013132331201 its reverse (102133231310331), we get a palindrome (235146363641532).

The spelling of 133013132331201 in words is "one hundred thirty-three trillion, thirteen billion, one hundred thirty-two million, three hundred thirty-one thousand, two hundred one".