102213311222133 has 24 divisors (see below), whose sum is σ = 156327609911616. Its totient is φ = 64133280604800.

The previous prime is 102213311222123. The next prime is 102213311222171. The reversal of 102213311222133 is 331222113312201.

102213311222133 is a `hidden beast` number, since 1 + 0 + 2 + 213 + 311 + 2 + 2 + 2 + 133 = 666.

It is not a de Polignac number, because 102213311222133 - 2¹⁴ = 102213311205749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102213311222097 and 102213311222106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213311222123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14955688 + ... + 20690558.

It is an arithmetic number, because the mean of its divisors is an integer number (6513650412984).

Almost surely, 2^{102213311222133} is an apocalyptic number.

It is an amenable number.

102213311222133 is a deficient number, since it is larger than the sum of its proper divisors (54114298689483).

102213311222133 is a wasteful number, since it uses less digits than its factorization.

102213311222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851385 (or 5851382 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102213311222133 its reverse (331222113312201), we get a palindrome (433435424534334).

The spelling of 102213311222133 in words is "one hundred two trillion, two hundred thirteen billion, three hundred eleven million, two hundred twenty-two thousand, one hundred thirty-three".