101540113 has 2 divisors, whose sum is σ = 101540114. Its totient is φ = 101540112.

The previous prime is 101540093. The next prime is 101540119. The reversal of 101540113 is 311045101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52301824 + 49238289 = 7232^2 + 7017^2 .

It is a cyclic number.

It is not a de Polignac number, because 101540113 - 2¹⁷ = 101409041 is a prime.

It is not a weakly prime, because it can be changed into another prime (101540119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50770056 + 50770057.

It is an arithmetic number, because the mean of its divisors is an integer number (50770057).

Almost surely, 2^101540113 is an apocalyptic number.

It is an amenable number.

101540113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101540113 is an equidigital number, since it uses as much as digits as its factorization.

101540113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 101540113 is about 10076.7114179181. The cubic root of 101540113 is about 466.5296111693.

Adding to 101540113 its reverse (311045101), we get a palindrome (412585214).

The spelling of 101540113 in words is "one hundred one million, five hundred forty thousand, one hundred thirteen".