102133120320 has 1120 divisors, whose sum is σ = 459812111616. Its totient is φ = 20901888000.

The previous prime is 102133120303. The next prime is 102133120333. The reversal of 102133120320 is 23021331201.

102133120320 is a `hidden beast` number, since 10 + 2 + 1 + 331 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102133120293 and 102133120302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 145695970 + ... + 145696670.

Almost surely, 2^102133120320 is an apocalyptic number.

102133120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229906055808).

102133120320 is an abundant number, since it is smaller than the sum of its proper divisors (357678991296).

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

102133120320 is a wasteful number, since it uses less digits than its factorization.

102133120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102133120320 its reverse (23021331201), we get a palindrome (125154451521).

The spelling of 102133120320 in words is "one hundred two billion, one hundred thirty-three million, one hundred twenty thousand, three hundred twenty".