10133312321220 has 288 divisors, whose sum is σ = 32290687930368. Its totient is φ = 2370117024000.

The previous prime is 10133312321203. The next prime is 10133312321233. The reversal of 10133312321220 is 2212321333101.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 74426847 + ... + 74562873.

Almost surely, 2^{10133312321220} is an apocalyptic number.

10133312321220 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 10133312321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16145343965184).

10133312321220 is an abundant number, since it is smaller than the sum of its proper divisors (22157375609148).

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

10133312321220 is a wasteful number, since it uses less digits than its factorization.

10133312321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136423 (or 136410 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10133312321220 its reverse (2212321333101), we get a palindrome (12345633654321).

The spelling of 10133312321220 in words is "ten trillion, one hundred thirty-three billion, three hundred twelve million, three hundred twenty-one thousand, two hundred twenty".