102132101213 has 4 divisors (see below), whose sum is σ = 102666824448. Its totient is φ = 101597377980.

The previous prime is 102132101191. The next prime is 102132101221. The reversal of 102132101213 is 312101231201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102132101213 - 2²⁴ = 102115323997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102132101191 and 102132101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132301213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267361331 + ... + 267361712.

It is an arithmetic number, because the mean of its divisors is an integer number (25666706112).

Almost surely, 2^102132101213 is an apocalyptic number.

It is an amenable number.

102132101213 is a deficient number, since it is larger than the sum of its proper divisors (534723235).

102132101213 is an equidigital number, since it uses as much as digits as its factorization.

102132101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534723234.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102132101213 its reverse (312101231201), we get a palindrome (414233332414).

The spelling of 102132101213 in words is "one hundred two billion, one hundred thirty-two million, one hundred one thousand, two hundred thirteen".