2013321032001 has 6 divisors (see below), whose sum is σ = 2908130379570. Its totient is φ = 1342214021328.

The previous prime is 2013321031973. The next prime is 2013321032053. The reversal of 2013321032001 is 1002301233102.

2013321032001 is a `hidden beast` number, since 2 + 0 + 1 + 332 + 10 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2002338201600 + 10982830401 = 1415040^2 + 104799^2 .

It is not a de Polignac number, because 2013321032001 - 2⁷ = 2013321031873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013321032101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111851168436 + ... + 111851168453.

It is an arithmetic number, because the mean of its divisors is an integer number (484688396595).

Almost surely, 2^{2013321032001} is an apocalyptic number.

It is an amenable number.

2013321032001 is a deficient number, since it is larger than the sum of its proper divisors (894809347569).

2013321032001 is a wasteful number, since it uses less digits than its factorization.

2013321032001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223702336895 (or 223702336892 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2013321032001 its reverse (1002301233102), we get a palindrome (3015622265103).

The spelling of 2013321032001 in words is "two trillion, thirteen billion, three hundred twenty-one million, thirty-two thousand, one".