133021101220 has 192 divisors, whose sum is σ = 353285452800. Its totient is φ = 40993210368.

The previous prime is 133021101217. The next prime is 133021101221. The reversal of 133021101220 is 22101120331.

It is a super-2 number, since 2×133021101220² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133021101194 and 133021101203.

It is not an unprimeable number, because it can be changed into a prime (133021101221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43626256 + ... + 43629304.

It is an arithmetic number, because the mean of its divisors is an integer number (1840028400).

Almost surely, 2^133021101220 is an apocalyptic number.

133021101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133021101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176642726400).

133021101220 is an abundant number, since it is smaller than the sum of its proper divisors (220264351580).

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

133021101220 is a wasteful number, since it uses less digits than its factorization.

133021101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 133021101220 its reverse (22101120331), we get a palindrome (155122221551).

The spelling of 133021101220 in words is "one hundred thirty-three billion, twenty-one million, one hundred one thousand, two hundred twenty".