101100310213 has 8 divisors (see below), whose sum is σ = 117901236800. Its totient is φ = 86657408460.

The previous prime is 101100310189. The next prime is 101100310231. The reversal of 101100310213 is 312013001101.

It is not a de Polignac number, because 101100310213 - 2⁹ = 101100309701 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100310193 and 101100310202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100310273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147376203 + ... + 147376888.

It is an arithmetic number, because the mean of its divisors is an integer number (14737654600).

Almost surely, 2^101100310213 is an apocalyptic number.

It is an amenable number.

101100310213 is a deficient number, since it is larger than the sum of its proper divisors (16800926587).

101100310213 is an frugal number, since it uses more digits than its factorization.

101100310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294753112 (or 294753098 counting only the distinct ones).

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

Adding to 101100310213 its reverse (312013001101), we get a palindrome (413113311314).

The spelling of 101100310213 in words is "one hundred one billion, one hundred million, three hundred ten thousand, two hundred thirteen".