233131002232001 has 2 divisors, whose sum is σ = 233131002232002. Its totient is φ = 233131002232000.

The previous prime is 233131002231949. The next prime is 233131002232061. The reversal of 233131002232001 is 100232200131332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220320615926401 + 12810386305600 = 14843201^2 + 3579160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-233131002232001 is a prime.

It is not a weakly prime, because it can be changed into another prime (233131002232061) 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 as a sum of consecutive naturals, namely, 116565501116000 + 116565501116001.

It is an arithmetic number, because the mean of its divisors is an integer number (116565501116001).

Almost surely, 2^{233131002232001} is an apocalyptic number.

It is an amenable number.

233131002232001 is a deficient number, since it is larger than the sum of its proper divisors (1).

233131002232001 is an equidigital number, since it uses as much as digits as its factorization.

233131002232001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 233131002232001 its reverse (100232200131332), we get a palindrome (333363202363333).

The spelling of 233131002232001 in words is "two hundred thirty-three trillion, one hundred thirty-one billion, two million, two hundred thirty-two thousand, one".