10133013212000 has 288 divisors, whose sum is σ = 29008884917376. Its totient is φ = 3468503808000.

The previous prime is 10133013211991. The next prime is 10133013212041. The reversal of 10133013212000 is 21231033101.

It is a self number, because there is not a number n which added to its sum of digits gives 10133013212000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120890105 + ... + 120973895.

It is an arithmetic number, because the mean of its divisors is an integer number (100725294852).

Almost surely, 2^{10133013212000} is an apocalyptic number.

10133013212000 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 10133013212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504442458688).

10133013212000 is an abundant number, since it is smaller than the sum of its proper divisors (18875871705376).

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

10133013212000 is an equidigital number, since it uses as much as digits as its factorization.

10133013212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84447 (or 84422 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10133013212000 its reverse (21231033101), we get a palindrome (10154244245101).

The spelling of 10133013212000 in words is "ten trillion, one hundred thirty-three billion, thirteen million, two hundred twelve thousand".