133032112001 has 16 divisors (see below), whose sum is σ = 141995448144. Its totient is φ = 124197924864.

The previous prime is 133032111983. The next prime is 133032112013. The reversal of 133032112001 is 100211230331.

It can be written as a sum of positive squares in 8 ways, for example, as 437813776 + 132594298225 = 20924^2 + 364135^2 .

It is a cyclic number.

It is not a de Polignac number, because 133032112001 - 2²² = 133027917697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133032114001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540691 + ... + 1624743.

It is an arithmetic number, because the mean of its divisors is an integer number (8874715509).

Almost surely, 2^133032112001 is an apocalyptic number.

It is an amenable number.

133032112001 is a deficient number, since it is larger than the sum of its proper divisors (8963336143).

133032112001 is a wasteful number, since it uses less digits than its factorization.

133032112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84820.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 133032112001 its reverse (100211230331), we get a palindrome (233243342332).

The spelling of 133032112001 in words is "one hundred thirty-three billion, thirty-two million, one hundred twelve thousand, one".