133021223000320 has 72 divisors (see below), whose sum is σ = 318631136012280. Its totient is φ = 53207865016320.

The previous prime is 133021223000317. The next prime is 133021223000359. The reversal of 133021223000320 is 23000322120331.

It can be written as a sum of positive squares in 4 ways, for example, as 814643435776 + 132206579564544 = 902576^2 + 11498112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133021223000291 and 133021223000300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117479436 + ... + 118606324.

It is an arithmetic number, because the mean of its divisors is an integer number (4425432444615).

Almost surely, 2^{133021223000320} is an apocalyptic number.

133021223000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133021223000320 is an abundant number, since it is smaller than the sum of its proper divisors (185609913011960).

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

133021223000320 is an equidigital number, since it uses as much as digits as its factorization.

133021223000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219131 (or 1219117 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 133021223000320 its reverse (23000322120331), we get a palindrome (156021545120651).

The spelling of 133021223000320 in words is "one hundred thirty-three trillion, twenty-one billion, two hundred twenty-three million, three hundred twenty", and thus it is an aban number.