101403104137 has 2 divisors, whose sum is σ = 101403104138. Its totient is φ = 101403104136.

The previous prime is 101403104119. The next prime is 101403104161. The reversal of 101403104137 is 731401304101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94234264576 + 7168839561 = 306976^2 + 84669^2 .

It is a cyclic number.

It is not a de Polignac number, because 101403104137 - 2¹¹ = 101403102089 is a prime.

It is not a weakly prime, because it can be changed into another prime (101403104437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50701552068 + 50701552069.

It is an arithmetic number, because the mean of its divisors is an integer number (50701552069).

Almost surely, 2^101403104137 is an apocalyptic number.

It is an amenable number.

101403104137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101403104137 is an equidigital number, since it uses as much as digits as its factorization.

101403104137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 101403104137 its reverse (731401304101), we get a palindrome (832804408238).

The spelling of 101403104137 in words is "one hundred one billion, four hundred three million, one hundred four thousand, one hundred thirty-seven".