100130101213 has 16 divisors (see below), whose sum is σ = 106717262400. Its totient is φ = 93677316480.

The previous prime is 100130101147. The next prime is 100130101223. The reversal of 100130101213 is 312101031001.

It is a cyclic number.

It is not a de Polignac number, because 100130101213 - 2²¹ = 100128004061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100130101193 and 100130101202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130101223) 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 15 ways as a sum of consecutive naturals, for example, 1334895 + ... + 1407907.

It is an arithmetic number, because the mean of its divisors is an integer number (6669828900).

Almost surely, 2^100130101213 is an apocalyptic number.

It is an amenable number.

100130101213 is a deficient number, since it is larger than the sum of its proper divisors (6587161187).

100130101213 is an equidigital number, since it uses as much as digits as its factorization.

100130101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73932.

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

Adding to 100130101213 its reverse (312101031001), we get a palindrome (412231132214).

The spelling of 100130101213 in words is "one hundred billion, one hundred thirty million, one hundred one thousand, two hundred thirteen".