102133011132030 has 256 divisors, whose sum is σ = 257859067576320. Its totient is φ = 25855044106752.

The previous prime is 102133011132023. The next prime is 102133011132079. The reversal of 102133011132030 is 30231110331201.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102133011131988 and 102133011132006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13468677619 + ... + 13468685201.

It is an arithmetic number, because the mean of its divisors is an integer number (1007261982720).

Almost surely, 2^{102133011132030} is an apocalyptic number.

102133011132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133011132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128929533788160).

102133011132030 is an abundant number, since it is smaller than the sum of its proper divisors (155726056444290).

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

102133011132030 is a wasteful number, since it uses less digits than its factorization.

102133011132030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8575.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 102133011132030 its reverse (30231110331201), we get a palindrome (132364121463231).

The spelling of 102133011132030 in words is "one hundred two trillion, one hundred thirty-three billion, eleven million, one hundred thirty-two thousand, thirty".