101311310031130 has 16 divisors (see below), whose sum is σ = 184858445154024. Its totient is φ = 39969393546240.

The previous prime is 101311310031067. The next prime is 101311310031161. The reversal of 101311310031130 is 31130013113101.

It can be written as a sum of positive squares in 4 ways, for example, as 100495953404289 + 815356626841 = 10024767^2 + 902971^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101311310031098 and 101311310031107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69391307511 + ... + 69391308970.

Almost surely, 2^{101311310031130} is an apocalyptic number.

101311310031130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101311310031130 is a deficient number, since it is larger than the sum of its proper divisors (83547135122894).

101311310031130 is a wasteful number, since it uses less digits than its factorization.

101311310031130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138782616561.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 101311310031130 its reverse (31130013113101), we get a palindrome (132441323144231).

The spelling of 101311310031130 in words is "one hundred one trillion, three hundred eleven billion, three hundred ten million, thirty-one thousand, one hundred thirty".