101101101001213 has 6 divisors (see below), whose sum is σ = 105687918438494. Its totient is φ = 96705400957176.

The previous prime is 101101101001181. The next prime is 101101101001223. The reversal of 101101101001213 is 312100101101101.

It can be written as a sum of positive squares in only one way, i.e., 76486533852964 + 24614567148249 = 8745658^2 + 4961307^2 .

It is not a de Polignac number, because 101101101001213 - 2⁵ = 101101101001181 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101101001193 and 101101101001202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101101001223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95558696070 + ... + 95558697127.

Almost surely, 2^{101101101001213} is an apocalyptic number.

It is an amenable number.

101101101001213 is a deficient number, since it is larger than the sum of its proper divisors (4586817437281).

101101101001213 is an equidigital number, since it uses as much as digits as its factorization.

101101101001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191117393243 (or 191117393220 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101101101001213 its reverse (312100101101101), we get a palindrome (413201202102314).

The spelling of 101101101001213 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one thousand, two hundred thirteen".