133112033201001 has 16 divisors (see below), whose sum is σ = 183208968404480. Its totient is φ = 85878258255360.

The previous prime is 133112033200973. The next prime is 133112033201029. The reversal of 133112033201001 is 100102330211331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133112033200973) and next prime (133112033201029).

It is not a de Polignac number, because 133112033201001 - 2⁴¹ = 130913009945449 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133112033208001) 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 15 ways as a sum of consecutive naturals, for example, 13451865 + ... + 21146553.

It is an arithmetic number, because the mean of its divisors is an integer number (11450560525280).

Almost surely, 2^{133112033201001} is an apocalyptic number.

It is an amenable number.

133112033201001 is a deficient number, since it is larger than the sum of its proper divisors (50096935203479).

133112033201001 is a wasteful number, since it uses less digits than its factorization.

133112033201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880736.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133112033201001 its reverse (100102330211331), we get a palindrome (233214363412332).

The spelling of 133112033201001 in words is "one hundred thirty-three trillion, one hundred twelve billion, thirty-three million, two hundred one thousand, one".