102118133 has 8 divisors (see below), whose sum is σ = 116442648. Its totient is φ = 88717824.

The previous prime is 102118127. The next prime is 102118151. The reversal of 102118133 is 331811201.

It can be written as a sum of positive squares in 4 ways, for example, as 47524 + 102070609 = 218^2 + 10103^2 .

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

It is not a de Polignac number, because 102118133 - 2⁶ = 102118069 is a prime.

It is a super-2 number, since 2×102118133² = 20856226174811378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102118153) 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, 230816 + ... + 231257.

It is an arithmetic number, because the mean of its divisors is an integer number (14555331).

Almost surely, 2^102118133 is an apocalyptic number.

102118133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102118133 is a deficient number, since it is larger than the sum of its proper divisors (14324515).

102118133 is a wasteful number, since it uses less digits than its factorization.

102118133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462103.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 102118133 is about 10105.3517009553. The cubic root of 102118133 is about 467.4131810907.

Adding to 102118133 its reverse (331811201), we get a palindrome (433929334).

The spelling of 102118133 in words is "one hundred two million, one hundred eighteen thousand, one hundred thirty-three".