100013131012 has 12 divisors (see below), whose sum is σ = 175575104460. Its totient is φ = 49848815456.

The previous prime is 100013131003. The next prime is 100013131037. The reversal of 100013131012 is 210131310001.

It can be written as a sum of positive squares in 2 ways, for example, as 3196319296 + 96816811716 = 56536^2 + 311154^2 .

It is a super-2 number, since 2×100013131012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100013130983 and 100013131001.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 39436087 + ... + 39438622.

It is an arithmetic number, because the mean of its divisors is an integer number (14631258705).

Almost surely, 2^100013131012 is an apocalyptic number.

It is an amenable number.

100013131012 is a deficient number, since it is larger than the sum of its proper divisors (75561973448).

100013131012 is a wasteful number, since it uses less digits than its factorization.

100013131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78875030 (or 78875028 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100013131012 its reverse (210131310001), we get a palindrome (310144441013).

The spelling of 100013131012 in words is "one hundred billion, thirteen million, one hundred thirty-one thousand, twelve".