102133432131120 has 480 divisors, whose sum is σ = 396272527560000. Its totient is φ = 24273620324352.

The previous prime is 102133432131037. The next prime is 102133432131121. The reversal of 102133432131120 is 21131234331201.

102133432131120 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 3 + 4 + 321 + 311 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102133432131121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 361006 + ... + 14296754.

It is an arithmetic number, because the mean of its divisors is an integer number (825567765750).

Almost surely, 2^{102133432131120} is an apocalyptic number.

102133432131120 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 102133432131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198136263780000).

102133432131120 is an abundant number, since it is smaller than the sum of its proper divisors (294139095428880).

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

102133432131120 is a wasteful number, since it uses less digits than its factorization.

102133432131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935819 (or 13935801 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102133432131120 its reverse (21131234331201), we get a palindrome (123264666462321).

The spelling of 102133432131120 in words is "one hundred two trillion, one hundred thirty-three billion, four hundred thirty-two million, one hundred thirty-one thousand, one hundred twenty".