1001112002131 has 2 divisors, whose sum is σ = 1001112002132. Its totient is φ = 1001112002130.

The previous prime is 1001112002113. The next prime is 1001112002279. The reversal of 1001112002131 is 1312002111001.

It is a happy number.

Together with previous prime (1001112002113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is an emirp because it is prime and its reverse (1312002111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001112002131 - 2⁹ = 1001112001619 is a prime.

It is a super-2 number, since 2×1001112002131² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001112002731) 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 as a sum of consecutive naturals, namely, 500556001065 + 500556001066.

It is an arithmetic number, because the mean of its divisors is an integer number (500556001066).

Almost surely, 2^{1001112002131} is an apocalyptic number.

1001112002131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001112002131 is an equidigital number, since it uses as much as digits as its factorization.

1001112002131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1001112002131 its reverse (1312002111001), we get a palindrome (2313114113132).

The spelling of 1001112002131 in words is "one trillion, one billion, one hundred twelve million, two thousand, one hundred thirty-one".