10133213011200 has 1620 divisors, whose sum is σ = 40108453936320. Its totient is φ = 2523647508480.

The previous prime is 10133213011169. The next prime is 10133213011213. The reversal of 10133213011200 is 211031233101.

10133213011200 is a `hidden beast` number, since 1 + 0 + 1 + 332 + 130 + 1 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 35806406259 + ... + 35806406541.

Almost surely, 2^{10133213011200} is an apocalyptic number.

10133213011200 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 10133213011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20054226968160).

10133213011200 is an abundant number, since it is smaller than the sum of its proper divisors (29975240925120).

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

10133213011200 is a wasteful number, since it uses less digits than its factorization.

10133213011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10133213011200 its reverse (211031233101), we get a palindrome (10344244244301).

The spelling of 10133213011200 in words is "ten trillion, one hundred thirty-three billion, two hundred thirteen million, eleven thousand, two hundred".