133020323130 has 128 divisors (see below), whose sum is σ = 356024844288. Its totient is φ = 31635203072.

The previous prime is 133020323129. The next prime is 133020323167. The reversal of 133020323130 is 31323020331.

It is a super-2 number, since 2×133020323130² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133020323097 and 133020323106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1202119 + ... + 1308101.

It is an arithmetic number, because the mean of its divisors is an integer number (2781444096).

Almost surely, 2^133020323130 is an apocalyptic number.

133020323130 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 133020323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178012422144).

133020323130 is an abundant number, since it is smaller than the sum of its proper divisors (223004521158).

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

133020323130 is a wasteful number, since it uses less digits than its factorization.

133020323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106140.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 133020323130 its reverse (31323020331), we get a palindrome (164343343461).

The spelling of 133020323130 in words is "one hundred thirty-three billion, twenty million, three hundred twenty-three thousand, one hundred thirty".