101031041 has 8 divisors (see below), whose sum is σ = 104900520. Its totient is φ = 97187328.

The previous prime is 101031031. The next prime is 101031043. The reversal of 101031041 is 140130101.

It can be written as a sum of positive squares in 4 ways, for example, as 21196816 + 79834225 = 4604^2 + 8935^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101031041 - 2¹⁸ = 100768897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101031043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1745 + ... + 14321.

It is an arithmetic number, because the mean of its divisors is an integer number (13112565).

Almost surely, 2^101031041 is an apocalyptic number.

It is an amenable number.

101031041 is a deficient number, since it is larger than the sum of its proper divisors (3869479).

101031041 is a wasteful number, since it uses less digits than its factorization.

101031041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12883.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101031041 is about 10051.4198499515. The cubic root of 101031041 is about 465.7486548811.

Adding to 101031041 its reverse (140130101), we get a palindrome (241161142).

The spelling of 101031041 in words is "one hundred one million, thirty-one thousand, forty-one".