102133121313300 has 144 divisors (see below), whose sum is σ = 368422023148032. Its totient is φ = 21222466761600.

The previous prime is 102133121313299. The next prime is 102133121313319. The reversal of 102133121313300 is 3313121331201.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2210650522 + ... + 2210696721.

Almost surely, 2^{102133121313300} is an apocalyptic number.

102133121313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133121313300 is an abundant number, since it is smaller than the sum of its proper divisors (266288901834732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102133121313300 is a wasteful number, since it uses less digits than its factorization.

102133121313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421347278 (or 4421347271 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 102133121313300 its reverse (3313121331201), we get a palindrome (105446242644501).

The spelling of 102133121313300 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred".