10033113031120 has 80 divisors (see below), whose sum is σ = 23572881239040. Its totient is φ = 3970959962112.

The previous prime is 10033113031093. The next prime is 10033113031133. The reversal of 10033113031120 is 2113031133001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34176321 + ... + 34468639.

It is an arithmetic number, because the mean of its divisors is an integer number (294661015488).

Almost surely, 2^{10033113031120} is an apocalyptic number.

10033113031120 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 10033113031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11786440619520).

10033113031120 is an abundant number, since it is smaller than the sum of its proper divisors (13539768207920).

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

10033113031120 is a wasteful number, since it uses less digits than its factorization.

10033113031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296852 (or 296846 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10033113031120 its reverse (2113031133001), we get a palindrome (12146144164121).

The spelling of 10033113031120 in words is "ten trillion, thirty-three billion, one hundred thirteen million, thirty-one thousand, one hundred twenty".