100110131313 has 8 divisors (see below), whose sum is σ = 133510716288. Its totient is φ = 66724816944.

The previous prime is 100110131299. The next prime is 100110131321. The reversal of 100110131313 is 313131011001.

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

It is not a de Polignac number, because 100110131313 - 2⁶ = 100110131249 is a prime.

It is a super-2 number, since 2×100110131313² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110131292 and 100110131301.

It is not an unprimeable number, because it can be changed into a prime (100110131323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3802345 + ... + 3828582.

It is an arithmetic number, because the mean of its divisors is an integer number (16688839536).

Almost surely, 2^100110131313 is an apocalyptic number.

It is an amenable number.

100110131313 is a deficient number, since it is larger than the sum of its proper divisors (33400584975).

100110131313 is an equidigital number, since it uses as much as digits as its factorization.

100110131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635303.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100110131313 its reverse (313131011001), we get a palindrome (413241142314).

The spelling of 100110131313 in words is "one hundred billion, one hundred ten million, one hundred thirty-one thousand, three hundred thirteen".