2033102013020 has 384 divisors, whose sum is σ = 5060535201792. Its totient is φ = 679311360000.

The previous prime is 2033102012971. The next prime is 2033102013029. The reversal of 2033102013020 is 203102013302.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2033102013020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033102013029) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4174747217 + ... + 4174747703.

It is an arithmetic number, because the mean of its divisors is an integer number (13178477088).

Almost surely, 2^{2033102013020} is an apocalyptic number.

2033102013020 is a gapful number since it is divisible by the number (20) 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 2033102013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530267600896).

2033102013020 is an abundant number, since it is smaller than the sum of its proper divisors (3027433188772).

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

2033102013020 is a wasteful number, since it uses less digits than its factorization.

2033102013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2033102013020 its reverse (203102013302), we get a palindrome (2236204026322).

The spelling of 2033102013020 in words is "two trillion, thirty-three billion, one hundred two million, thirteen thousand, twenty".