133022122231300 has 72 divisors (see below), whose sum is σ = 289211729030280. Its totient is φ = 53106803481600.

The previous prime is 133022122231283. The next prime is 133022122231307. The reversal of 133022122231300 is 3132221220331.

It can be written as a sum of positive squares in 12 ways, for example, as 28668828331584 + 104353293899716 = 5354328^2 + 10215346^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133022122231307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467124960 + ... + 467409640.

It is an arithmetic number, because the mean of its divisors is an integer number (4016829569865).

Almost surely, 2^{133022122231300} is an apocalyptic number.

133022122231300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133022122231300 is an abundant number, since it is smaller than the sum of its proper divisors (156189606798980).

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

133022122231300 is a wasteful number, since it uses less digits than its factorization.

133022122231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293641 (or 293634 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 133022122231300 its reverse (3132221220331), we get a palindrome (136154343451631).

The spelling of 133022122231300 in words is "one hundred thirty-three trillion, twenty-two billion, one hundred twenty-two million, two hundred thirty-one thousand, three hundred".