320032001001013 has 64 divisors (see below), whose sum is σ = 411451963269120. Its totient is φ = 242471281231872.

The previous prime is 320032001000989. The next prime is 320032001001101. The reversal of 320032001001013 is 310100100230023.

It is a de Polignac number, because none of the positive numbers 2^k-320032001001013 is a prime.

It is a super-3 number, since 3×320032001001013³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320032001001313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131696481 + ... + 134104537.

It is an arithmetic number, because the mean of its divisors is an integer number (6428936926080).

Almost surely, 2^{320032001001013} is an apocalyptic number.

It is an amenable number.

320032001001013 is a deficient number, since it is larger than the sum of its proper divisors (91419962268107).

320032001001013 is a wasteful number, since it uses less digits than its factorization.

320032001001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408986.

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

Adding to 320032001001013 its reverse (310100100230023), we get a palindrome (630132101231036).

The spelling of 320032001001013 in words is "three hundred twenty trillion, thirty-two billion, one million, one thousand, thirteen".