2001233301000 has 256 divisors, whose sum is σ = 6275563257600. Its totient is φ = 530957312000.

The previous prime is 2001233300971. The next prime is 2001233301013. The reversal of 2001233301000 is 1033321002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880435864 + ... + 880438136.

It is an arithmetic number, because the mean of its divisors is an integer number (24513918975).

Almost surely, 2^{2001233301000} is an apocalyptic number.

2001233301000 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 2001233301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137781628800).

2001233301000 is an abundant number, since it is smaller than the sum of its proper divisors (4274329956600).

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

2001233301000 is a wasteful number, since it uses less digits than its factorization.

2001233301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2001233301000 its reverse (1033321002), we get a palindrome (2002266622002).

The spelling of 2001233301000 in words is "two trillion, one billion, two hundred thirty-three million, three hundred one thousand".