101315441 has 2 divisors, whose sum is σ = 101315442. Its totient is φ = 101315440.

The previous prime is 101315407. The next prime is 101315453. The reversal of 101315441 is 144513101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91680625 + 9634816 = 9575^2 + 3104^2 .

It is a cyclic number.

It is not a de Polignac number, because 101315441 - 2¹⁴ = 101299057 is a prime.

It is a super-3 number, since 3×101315441³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101315041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50657720 + 50657721.

It is an arithmetic number, because the mean of its divisors is an integer number (50657721).

Almost surely, 2^101315441 is an apocalyptic number.

It is an amenable number.

101315441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101315441 is an equidigital number, since it uses as much as digits as its factorization.

101315441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 101315441 is about 10065.5571629195. The cubic root of 101315441 is about 466.1852692806.

Adding to 101315441 its reverse (144513101), we get a palindrome (245828542).

The spelling of 101315441 in words is "one hundred one million, three hundred fifteen thousand, four hundred forty-one".