100131130313313 has 32 divisors (see below), whose sum is σ = 145692376330752. Its totient is φ = 60665913638400.

The previous prime is 100131130313281. The next prime is 100131130313341. The reversal of 100131130313313 is 313313031131001.

It is not a de Polignac number, because 100131130313313 - 2⁵ = 100131130313281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100131130313393) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1393713370 + ... + 1393785212.

It is an arithmetic number, because the mean of its divisors is an integer number (4552886760336).

Almost surely, 2^{100131130313313} is an apocalyptic number.

It is an amenable number.

100131130313313 is a deficient number, since it is larger than the sum of its proper divisors (45561246017439).

100131130313313 is a wasteful number, since it uses less digits than its factorization.

100131130313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84925.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 100131130313313 its reverse (313313031131001), we get a palindrome (413444161444314).

The spelling of 100131130313313 in words is "one hundred trillion, one hundred thirty-one billion, one hundred thirty million, three hundred thirteen thousand, three hundred thirteen".