101131029 has 6 divisors (see below), whose sum is σ = 146078166. Its totient is φ = 67420680.

The previous prime is 101131013. The next prime is 101131031. The reversal of 101131029 is 920131101.

It can be written as a sum of positive squares in only one way, i.e., 96000804 + 5130225 = 9798^2 + 2265^2 .

It is not a de Polignac number, because 101131029 - 2⁴ = 101131013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5618382 + ... + 5618399.

It is an arithmetic number, because the mean of its divisors is an integer number (24346361).

Almost surely, 2^101131029 is an apocalyptic number.

It is an amenable number.

101131029 is a deficient number, since it is larger than the sum of its proper divisors (44947137).

101131029 is a wasteful number, since it uses less digits than its factorization.

101131029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11236787 (or 11236784 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 101131029 is about 10056.3924446095. The cubic root of 101131029 is about 465.9022509827.

The spelling of 101131029 in words is "one hundred one million, one hundred thirty-one thousand, twenty-nine".