1001110113001 has 2 divisors, whose sum is σ = 1001110113002. Its totient is φ = 1001110113000.

The previous prime is 1001110112999. The next prime is 1001110113079. The reversal of 1001110113001 is 1003110111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 994158555625 + 6951557376 = 997075^2 + 83376^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001110113001 - 2¹ = 1001110112999 is a prime.

Together with 1001110112999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1001110113301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555056500 + 500555056501.

It is an arithmetic number, because the mean of its divisors is an integer number (500555056501).

Almost surely, 2^{1001110113001} is an apocalyptic number.

It is an amenable number.

1001110113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001110113001 is an equidigital number, since it uses as much as digits as its factorization.

1001110113001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 1001110113001 its reverse (1003110111001), we get a palindrome (2004220224002).

It can be divided in two parts, 1001110 and 113001, that added together give a palindrome (1114111).

The spelling of 1001110113001 in words is "one trillion, one billion, one hundred ten million, one hundred thirteen thousand, one".