10133213100000 has 288 divisors, whose sum is σ = 33874841558880. Its totient is φ = 2651201280000.

The previous prime is 10133213099993. The next prime is 10133213100011. The reversal of 10133213100000 is 131233101.

It is a super-2 number, since 2×10133213100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 15581346 + ... + 16218654.

It is an arithmetic number, because the mean of its divisors is an integer number (117620977635).

Almost surely, 2^{10133213100000} is an apocalyptic number.

10133213100000 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 10133213100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16937420779440).

10133213100000 is an abundant number, since it is smaller than the sum of its proper divisors (23741628458880).

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

10133213100000 is an frugal number, since it uses more digits than its factorization.

10133213100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637400 (or 637372 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10133213100000 its reverse (131233101), we get a palindrome (10133344333101).

The spelling of 10133213100000 in words is "ten trillion, one hundred thirty-three billion, two hundred thirteen million, one hundred thousand".