102133113022113 has 16 divisors (see below), whose sum is σ = 137583780197952. Its totient is φ = 67386162600000.

The previous prime is 102133113022103. The next prime is 102133113022123. The reversal of 102133113022113 is 311220311331201.

It is an interprime number because it is at equal distance from previous prime (102133113022103) and next prime (102133113022123).

It is not a de Polignac number, because 102133113022113 - 2⁹ = 102133113021601 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102133113022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70364038 + ... + 71800863.

It is an arithmetic number, because the mean of its divisors is an integer number (8598986262372).

Almost surely, 2^{102133113022113} is an apocalyptic number.

It is an amenable number.

102133113022113 is a deficient number, since it is larger than the sum of its proper divisors (35450667175839).

102133113022113 is a wasteful number, since it uses less digits than its factorization.

102133113022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142167376.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102133113022113 its reverse (311220311331201), we get a palindrome (413353424353314).

The spelling of 102133113022113 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred thirteen million, twenty-two thousand, one hundred thirteen".