102133322213 has 16 divisors (see below), whose sum is σ = 114006236400. Its totient is φ = 90846981120.

The previous prime is 102133322189. The next prime is 102133322231. The reversal of 102133322213 is 312223331201.

It can be written as a sum of positive squares in 8 ways, for example, as 13271500804 + 88861821409 = 115202^2 + 298097^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133322213 - 2¹² = 102133318117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133322243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74228 + ... + 458013.

It is an arithmetic number, because the mean of its divisors is an integer number (7125389775).

Almost surely, 2^102133322213 is an apocalyptic number.

102133322213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102133322213 is a deficient number, since it is larger than the sum of its proper divisors (11872914187).

102133322213 is a wasteful number, since it uses less digits than its factorization.

102133322213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532792.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 102133322213 its reverse (312223331201), we get a palindrome (414356653414).

The spelling of 102133322213 in words is "one hundred two billion, one hundred thirty-three million, three hundred twenty-two thousand, two hundred thirteen".