2001101320033 has 12 divisors (see below), whose sum is σ = 2112060584100. Its totient is φ = 1895694990336.

The previous prime is 2001101320021. The next prime is 2001101320121. The reversal of 2001101320033 is 3300231011002.

It can be written as a sum of positive squares in 2 ways, for example, as 1692517737024 + 308583583009 = 1300968^2 + 555503^2 .

It is not a de Polignac number, because 2001101320033 - 2²⁵ = 2001067765601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001101319989 and 2001101320016.

It is not an unprimeable number, because it can be changed into a prime (2001101320633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8803393 + ... + 9027841.

It is an arithmetic number, because the mean of its divisors is an integer number (176005048675).

Almost surely, 2^{2001101320033} is an apocalyptic number.

It is an amenable number.

2001101320033 is a deficient number, since it is larger than the sum of its proper divisors (110959264067).

2001101320033 is a wasteful number, since it uses less digits than its factorization.

2001101320033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249184 (or 249165 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2001101320033 its reverse (3300231011002), we get a palindrome (5301332331035).

The spelling of 2001101320033 in words is "two trillion, one billion, one hundred one million, three hundred twenty thousand, thirty-three".