2131330032001 has 2 divisors, whose sum is σ = 2131330032002. Its totient is φ = 2131330032000.

The previous prime is 2131330031977. The next prime is 2131330032043. The reversal of 2131330032001 is 1002300331312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1396358168976 + 734971863025 = 1181676^2 + 857305^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131330032001 - 2⁹ = 2131330031489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2131330032001.

It is not a weakly prime, because it can be changed into another prime (2131330032061) 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, 1065665016000 + 1065665016001.

It is an arithmetic number, because the mean of its divisors is an integer number (1065665016001).

Almost surely, 2^{2131330032001} is an apocalyptic number.

It is an amenable number.

2131330032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131330032001 is an equidigital number, since it uses as much as digits as its factorization.

2131330032001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2131330032001 its reverse (1002300331312), we get a palindrome (3133630363313).

The spelling of 2131330032001 in words is "two trillion, one hundred thirty-one billion, three hundred thirty million, thirty-two thousand, one".