100010231113 has 8 divisors (see below), whose sum is σ = 107936962056. Its totient is φ = 92116876800.

The previous prime is 100010231093. The next prime is 100010231131. The reversal of 100010231113 is 311132010001.

It can be written as a sum of positive squares in 4 ways, for example, as 5242918464 + 94767312649 = 72408^2 + 307843^2 .

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

It is not a de Polignac number, because 100010231113 - 2¹⁷ = 100010100041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010231093 and 100010231102.

It is not an unprimeable number, because it can be changed into a prime (100010231143) 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, 8337928 + ... + 8349913.

It is an arithmetic number, because the mean of its divisors is an integer number (13492120257).

Almost surely, 2^100010231113 is an apocalyptic number.

100010231113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100010231113 is a deficient number, since it is larger than the sum of its proper divisors (7926730943).

100010231113 is a wasteful number, since it uses less digits than its factorization.

100010231113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16688315.

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

Adding to 100010231113 its reverse (311132010001), we get a palindrome (411142241114).

The spelling of 100010231113 in words is "one hundred billion, ten million, two hundred thirty-one thousand, one hundred thirteen".