101010131031 has 8 divisors (see below), whose sum is σ = 134683959040. Its totient is φ = 67338195192.

The previous prime is 101010131023. The next prime is 101010131059. The reversal of 101010131031 is 130131010101.

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

It is not a de Polignac number, because 101010131031 - 2³ = 101010131023 is a prime.

It is a super-2 number, since 2×101010131031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010130998 and 101010131016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010131011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343405 + ... + 565638.

It is an arithmetic number, because the mean of its divisors is an integer number (16835494880).

Almost surely, 2^101010131031 is an apocalyptic number.

101010131031 is a deficient number, since it is larger than the sum of its proper divisors (33673828009).

101010131031 is an equidigital number, since it uses as much as digits as its factorization.

101010131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946085.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 101010131031 its reverse (130131010101), we get a palindrome (231141141132).

The spelling of 101010131031 in words is "one hundred one billion, ten million, one hundred thirty-one thousand, thirty-one".