102213320011133 has 12 divisors (see below), whose sum is σ = 108637028044020. Its totient is φ = 96149844436992.

The previous prime is 102213320011039. The next prime is 102213320011151. The reversal of 102213320011133 is 331110023312201.

It can be written as a sum of positive squares in 6 ways, for example, as 1589409875524 + 100623910135609 = 1260718^2 + 10031147^2 .

It is not a de Polignac number, because 102213320011133 - 2⁸ = 102213320010877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102213320011099 and 102213320011108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213320011163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93069566 + ... + 94161407.

It is an arithmetic number, because the mean of its divisors is an integer number (9053085670335).

Almost surely, 2^{102213320011133} is an apocalyptic number.

It is an amenable number.

102213320011133 is a deficient number, since it is larger than the sum of its proper divisors (6423708032887).

102213320011133 is a wasteful number, since it uses less digits than its factorization.

102213320011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187232896 (or 187232879 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102213320011133 its reverse (331110023312201), we get a palindrome (433323343323334).

The spelling of 102213320011133 in words is "one hundred two trillion, two hundred thirteen billion, three hundred twenty million, eleven thousand, one hundred thirty-three".