10738134371101 has 2 divisors, whose sum is σ = 10738134371102. Its totient is φ = 10738134371100.

The previous prime is 10738134371033. The next prime is 10738134371147. The reversal of 10738134371101 is 10117343183701.

10738134371101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10054289722500 + 683844648601 = 3170850^2 + 826949^2 .

It is a cyclic number.

It is not a de Polignac number, because 10738134371101 - 2⁷ = 10738134370973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10738134372101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5369067185550 + 5369067185551.

It is an arithmetic number, because the mean of its divisors is an integer number (5369067185551).

Almost surely, 2^{10738134371101} is an apocalyptic number.

It is an amenable number.

10738134371101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10738134371101 is an equidigital number, since it uses as much as digits as its factorization.

10738134371101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 10738134371101 in words is "ten trillion, seven hundred thirty-eight billion, one hundred thirty-four million, three hundred seventy-one thousand, one hundred one".