101531041 has 16 divisors (see below), whose sum is σ = 110218240. Its totient is φ = 93214800.

The previous prime is 101531033. The next prime is 101531057. The reversal of 101531041 is 140135101.

It is a cyclic number.

It is not a de Polignac number, because 101531041 - 2³ = 101531033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101531011) 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 15 ways as a sum of consecutive naturals, for example, 122956 + ... + 123778.

It is an arithmetic number, because the mean of its divisors is an integer number (6888640).

Almost surely, 2^101531041 is an apocalyptic number.

It is an amenable number.

101531041 is a deficient number, since it is larger than the sum of its proper divisors (8687199).

101531041 is a wasteful number, since it uses less digits than its factorization.

101531041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036.

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

The square root of 101531041 is about 10076.2612610035. The cubic root of 101531041 is about 466.5157168814.

Adding to 101531041 its reverse (140135101), we get a palindrome (241666142).

The spelling of 101531041 in words is "one hundred one million, five hundred thirty-one thousand, forty-one".