102132231300333 has 48 divisors (see below), whose sum is σ = 161692739994240. Its totient is φ = 61740075146112.

The previous prime is 102132231300317. The next prime is 102132231300457. The reversal of 102132231300333 is 333003132231201.

102132231300333 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 2 + 23 + 1 + 300 + 333 = 666.

It is not a de Polignac number, because 102132231300333 - 2⁴ = 102132231300317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102132231300297 and 102132231300306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132231308333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15331666 + ... + 20960067.

It is an arithmetic number, because the mean of its divisors is an integer number (3368598749880).

Almost surely, 2^{102132231300333} is an apocalyptic number.

102132231300333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102132231300333 is a deficient number, since it is larger than the sum of its proper divisors (59560508693907).

102132231300333 is a wasteful number, since it uses less digits than its factorization.

102132231300333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36292178 (or 36292175 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 102132231300333 its reverse (333003132231201), we get a palindrome (435135363531534).

The spelling of 102132231300333 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred thirty-one million, three hundred thousand, three hundred thirty-three".