101313441 has 6 divisors (see below), whose sum is σ = 146341650. Its totient is φ = 67542288.

The previous prime is 101313439. The next prime is 101313451. The reversal of 101313441 is 144313101.

It can be written as a sum of positive squares in only one way, i.e., 101304225 + 9216 = 10065^2 + 96^2 .

It is not a de Polignac number, because 101313441 - 2¹ = 101313439 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101313451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5628516 + ... + 5628533.

It is an arithmetic number, because the mean of its divisors is an integer number (24390275).

Almost surely, 2^101313441 is an apocalyptic number.

It is an amenable number.

101313441 is a deficient number, since it is larger than the sum of its proper divisors (45028209).

101313441 is a wasteful number, since it uses less digits than its factorization.

101313441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11257055 (or 11257052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101313441 is about 10065.4578137311. The cubic root of 101313441 is about 466.1822017104.

Adding to 101313441 its reverse (144313101), we get a palindrome (245626542).

The spelling of 101313441 in words is "one hundred one million, three hundred thirteen thousand, four hundred forty-one".