100112233013 has 12 divisors (see below), whose sum is σ = 108420852708. Its totient is φ = 92398250880.

The previous prime is 100112233007. The next prime is 100112233037. The reversal of 100112233013 is 310332211001.

It can be written as a sum of positive squares in 6 ways, for example, as 63500472049 + 36611760964 = 251993^2 + 191342^2 .

It is not a de Polignac number, because 100112233013 - 2¹⁸ = 100111970869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100112232982 and 100112233000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112233213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1283183 + ... + 1358963.

It is an arithmetic number, because the mean of its divisors is an integer number (9035071059).

Almost surely, 2^100112233013 is an apocalyptic number.

100112233013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100112233013 is a deficient number, since it is larger than the sum of its proper divisors (8308619695).

100112233013 is an equidigital number, since it uses as much as digits as its factorization.

100112233013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83624 (or 83611 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100112233013 its reverse (310332211001), we get a palindrome (410444444014).

The spelling of 100112233013 in words is "one hundred billion, one hundred twelve million, two hundred thirty-three thousand, thirteen".