101291031 has 12 divisors (see below), whose sum is σ = 146869008. Its totient is φ = 67269024.

The previous prime is 101291027. The next prime is 101291059. The reversal of 101291031 is 130192101.

It is not a de Polignac number, because 101291031 - 2² = 101291027 is a prime.

It is a super-2 number, since 2×101291031² = 20519745922085922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101290995 and 101291013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101291081) 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 11 ways as a sum of consecutive naturals, for example, 19030 + ... + 23763.

It is an arithmetic number, because the mean of its divisors is an integer number (12239084).

Almost surely, 2^101291031 is an apocalyptic number.

101291031 is a deficient number, since it is larger than the sum of its proper divisors (45577977).

101291031 is a wasteful number, since it uses less digits than its factorization.

101291031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43062 (or 43059 counting only the distinct ones).

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

The square root of 101291031 is about 10064.3445390149. The cubic root of 101291031 is about 466.1478268259.

The spelling of 101291031 in words is "one hundred one million, two hundred ninety-one thousand, thirty-one".