132122333301030 has 256 divisors, whose sum is σ = 363388590489600. Its totient is φ = 34141378538880.

The previous prime is 132122333300999. The next prime is 132122333301043. The reversal of 132122333301030 is 30103333221231.

132122333301030 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 22 + 333 + 301 + 0 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132122333300985 and 132122333301003.

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, 11882567811 + ... + 11882578929.

It is an arithmetic number, because the mean of its divisors is an integer number (1419486681600).

Almost surely, 2^{132122333301030} is an apocalyptic number.

132122333301030 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 132122333301030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181694295244800).

132122333301030 is an abundant number, since it is smaller than the sum of its proper divisors (231266257188570).

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

132122333301030 is a wasteful number, since it uses less digits than its factorization.

132122333301030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20376 (or 20370 counting only the distinct ones).

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

Adding to 132122333301030 its reverse (30103333221231), we get a palindrome (162225666522261).

The spelling of 132122333301030 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, three hundred thirty-three million, three hundred one thousand, thirty".