12101013133000 has 192 divisors, whose sum is σ = 31965823234800. Its totient is φ = 4281437952000.

The previous prime is 12101013132983. The next prime is 12101013133091. The reversal of 12101013133000 is 33131010121.

It can be written as a sum of positive squares in 8 ways, for example, as 1651219860004 + 10449793272996 = 1284998^2 + 3232614^2 .

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, 3125536 + ... + 5828464.

Almost surely, 2^{12101013133000} is an apocalyptic number.

12101013133000 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 12101013133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982911617400).

12101013133000 is an abundant number, since it is smaller than the sum of its proper divisors (19864810101800).

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

12101013133000 is a wasteful number, since it uses less digits than its factorization.

12101013133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703009 (or 2702984 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 12101013133000 its reverse (33131010121), we get a palindrome (12134144143121).

The spelling of 12101013133000 in words is "twelve trillion, one hundred one billion, thirteen million, one hundred thirty-three thousand".