1002132331001 has 2 divisors, whose sum is σ = 1002132331002. Its totient is φ = 1002132331000.

The previous prime is 1002132330989. The next prime is 1002132331003. The reversal of 1002132331001 is 1001332312001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 985413582400 + 16718748601 = 992680^2 + 129301^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002132331001 - 2¹⁸ = 1002132068857 is a prime.

Together with 1002132331003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1002132331003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501066165500 + 501066165501.

It is an arithmetic number, because the mean of its divisors is an integer number (501066165501).

Almost surely, 2^{1002132331001} is an apocalyptic number.

It is an amenable number.

1002132331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002132331001 is an equidigital number, since it uses as much as digits as its factorization.

1002132331001 is an evil number, because the sum of its binary digits is even.

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

Adding to 1002132331001 its reverse (1001332312001), we get a palindrome (2003464643002).

The spelling of 1002132331001 in words is "one trillion, two billion, one hundred thirty-two million, three hundred thirty-one thousand, one".