102133020133213 has 8 divisors (see below), whose sum is σ = 104202022897368. Its totient is φ = 100069275319104.

The previous prime is 102133020133211. The next prime is 102133020133231. The reversal of 102133020133213 is 312331020331201.

It can be written as a sum of positive squares in 4 ways, for example, as 47207164338009 + 54925855795204 = 6870747^2 + 7411198^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102133020133213 - 2¹ = 102133020133211 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 (102133020133211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314448270 + ... + 1314525967.

It is an arithmetic number, because the mean of its divisors is an integer number (13025252862171).

Almost surely, 2^{102133020133213} is an apocalyptic number.

It is an amenable number.

102133020133213 is a deficient number, since it is larger than the sum of its proper divisors (2069002764155).

102133020133213 is an equidigital number, since it uses as much as digits as its factorization.

102133020133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628975023.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 102133020133213 its reverse (312331020331201), we get a palindrome (414464040464414).

The spelling of 102133020133213 in words is "one hundred two trillion, one hundred thirty-three billion, twenty million, one hundred thirty-three thousand, two hundred thirteen".