102213320121133 has 32 divisors (see below), whose sum is σ = 117331690291200. Its totient is φ = 88308767422656.

The previous prime is 102213320121131. The next prime is 102213320121139. The reversal of 102213320121133 is 331121023312201.

It is not a de Polignac number, because 102213320121133 - 2¹ = 102213320121131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102213320121098 and 102213320121107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213320121131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62700748 + ... + 64310266.

It is an arithmetic number, because the mean of its divisors is an integer number (3666615321600).

Almost surely, 2^{102213320121133} is an apocalyptic number.

102213320121133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102213320121133 is a deficient number, since it is larger than the sum of its proper divisors (15118370170067).

102213320121133 is a wasteful number, since it uses less digits than its factorization.

102213320121133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614121.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 102213320121133 its reverse (331121023312201), we get a palindrome (433334343433334).

The spelling of 102213320121133 in words is "one hundred two trillion, two hundred thirteen billion, three hundred twenty million, one hundred twenty-one thousand, one hundred thirty-three".