2033001001300 has 144 divisors (see below), whose sum is σ = 4704978862080. Its totient is φ = 760315248000.

The previous prime is 2033001001271. The next prime is 2033001001301. The reversal of 2033001001300 is 31001003302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033001001301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46066245 + ... + 46110355.

It is an arithmetic number, because the mean of its divisors is an integer number (32673464320).

Almost surely, 2^{2033001001300} is an apocalyptic number.

2033001001300 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 2033001001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352489431040).

2033001001300 is an abundant number, since it is smaller than the sum of its proper divisors (2671977860780).

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

2033001001300 is a wasteful number, since it uses less digits than its factorization.

2033001001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44462 (or 44455 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 2033001001300 its reverse (31001003302), we get a palindrome (2064002004602).

The spelling of 2033001001300 in words is "two trillion, thirty-three billion, one million, one thousand, three hundred".