1033100120000 has 280 divisors, whose sum is σ = 2762727719136. Its totient is φ = 380911104000.

The previous prime is 1033100119991. The next prime is 1033100120053. The reversal of 1033100120000 is 210013301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 713959277 + ... + 713960723.

Almost surely, 2^{1033100120000} is an apocalyptic number.

1033100120000 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 1033100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381363859568).

1033100120000 is an abundant number, since it is smaller than the sum of its proper divisors (1729627599136).

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

1033100120000 is a wasteful number, since it uses less digits than its factorization.

1033100120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1033100120000 its reverse (210013301), we get a palindrome (1033310133301).

The spelling of 1033100120000 in words is "one trillion, thirty-three billion, one hundred million, one hundred twenty thousand".