2302133112001 has 2 divisors, whose sum is σ = 2302133112002. Its totient is φ = 2302133112000.

The previous prime is 2302133111881. The next prime is 2302133112011. The reversal of 2302133112001 is 1002113312032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2141773710400 + 160359401601 = 1463480^2 + 400449^2 .

It is a cyclic number.

It is not a de Polignac number, because 2302133112001 - 2⁹ = 2302133111489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2302133112001.

It is not a weakly prime, because it can be changed into another prime (2302133112011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1151066556000 + 1151066556001.

It is an arithmetic number, because the mean of its divisors is an integer number (1151066556001).

Almost surely, 2^{2302133112001} is an apocalyptic number.

It is an amenable number.

2302133112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2302133112001 is an equidigital number, since it uses as much as digits as its factorization.

2302133112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2302133112001 its reverse (1002113312032), we get a palindrome (3304246424033).

The spelling of 2302133112001 in words is "two trillion, three hundred two billion, one hundred thirty-three million, one hundred twelve thousand, one".