11213100102321 has 12 divisors (see below), whose sum is σ = 17442600159348. Its totient is φ = 6900369293664.

The previous prime is 11213100102247. The next prime is 11213100102331. The reversal of 11213100102321 is 12320100131211.

11213100102321 is a `hidden beast` number, since 1 + 1 + 21 + 310 + 0 + 10 + 2 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 458111031921 + 10754989070400 = 676839^2 + 3279480^2 .

It is not a de Polignac number, because 11213100102321 - 2¹⁵ = 11213100069553 is a prime.

It is a super-2 number, since 2×11213100102321² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11213100102294 and 11213100102303.

It is not an unprimeable number, because it can be changed into a prime (11213100102331) 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 11 ways as a sum of consecutive naturals, for example, 47919231090 + ... + 47919231323.

It is an arithmetic number, because the mean of its divisors is an integer number (1453550013279).

Almost surely, 2^{11213100102321} is an apocalyptic number.

It is an amenable number.

11213100102321 is a deficient number, since it is larger than the sum of its proper divisors (6229500057027).

11213100102321 is a wasteful number, since it uses less digits than its factorization.

11213100102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95838462432 (or 95838462429 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11213100102321 its reverse (12320100131211), we get a palindrome (23533200233532).

The spelling of 11213100102321 in words is "eleven trillion, two hundred thirteen billion, one hundred million, one hundred two thousand, three hundred twenty-one".