1001034011137 has 2 divisors, whose sum is σ = 1001034011138. Its totient is φ = 1001034011136.

The previous prime is 1001034011113. The next prime is 1001034011141. The reversal of 1001034011137 is 7311104301001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000562078961 + 471932176 = 1000281^2 + 21724^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001034011137 - 2¹¹ = 1001034009089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001034111137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500517005568 + 500517005569.

It is an arithmetic number, because the mean of its divisors is an integer number (500517005569).

Almost surely, 2^{1001034011137} is an apocalyptic number.

It is an amenable number.

1001034011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001034011137 is an equidigital number, since it uses as much as digits as its factorization.

1001034011137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 1001034011137 its reverse (7311104301001), we get a palindrome (8312138312138).

The spelling of 1001034011137 in words is "one trillion, one billion, thirty-four million, eleven thousand, one hundred thirty-seven".