10133100120000 has 1120 divisors, whose sum is σ = 39918612754944. Its totient is φ = 2235340800000.

The previous prime is 10133100119969. The next prime is 10133100120029. The reversal of 10133100120000 is 2100133101.

10133100120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1218355842 + ... + 1218364158.

Almost surely, 2^{10133100120000} is an apocalyptic number.

10133100120000 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 10133100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19959306377472).

10133100120000 is an abundant number, since it is smaller than the sum of its proper divisors (29785512634944).

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

10133100120000 is a wasteful number, since it uses less digits than its factorization.

10133100120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8447 (or 8422 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10133100120000 its reverse (2100133101), we get a palindrome (10135200253101).

The spelling of 10133100120000 in words is "ten trillion, one hundred thirty-three billion, one hundred million, one hundred twenty thousand".