100211333333213 has 16 divisors (see below), whose sum is σ = 101184750374400. Its totient is φ = 99239455854336.

The previous prime is 100211333333191. The next prime is 100211333333233. The reversal of 100211333333213 is 312333333112001.

It is a cyclic number.

It is not a de Polignac number, because 100211333333213 - 2²² = 100211329138909 is a prime.

It is a super-2 number, since 2×100211333333213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211333333233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221497231 + ... + 1221579267.

It is an arithmetic number, because the mean of its divisors is an integer number (6324046898400).

Almost surely, 2^{100211333333213} is an apocalyptic number.

It is an amenable number.

100211333333213 is a deficient number, since it is larger than the sum of its proper divisors (973417041187).

100211333333213 is a wasteful number, since it uses less digits than its factorization.

100211333333213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91276.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 100211333333213 its reverse (312333333112001), we get a palindrome (412544666445214).

The spelling of 100211333333213 in words is "one hundred trillion, two hundred eleven billion, three hundred thirty-three million, three hundred thirty-three thousand, two hundred thirteen".