102132213113 has 8 divisors (see below), whose sum is σ = 117232236480. Its totient is φ = 87159616560.

The previous prime is 102132213107. The next prime is 102132213119. The reversal of 102132213113 is 311312231201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102132213107) and next prime (102132213119).

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 102132213113 - 2³⁰ = 101058471289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102132213119) 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 7 ways as a sum of consecutive naturals, for example, 31854983 + ... + 31858188.

It is an arithmetic number, because the mean of its divisors is an integer number (14654029560).

Almost surely, 2^102132213113 is an apocalyptic number.

It is an amenable number.

102132213113 is a deficient number, since it is larger than the sum of its proper divisors (15100023367).

102132213113 is an equidigital number, since it uses as much as digits as its factorization.

102132213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63713407.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102132213113 its reverse (311312231201), we get a palindrome (413444444314).

The spelling of 102132213113 in words is "one hundred two billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred thirteen".