2013132320033 has 4 divisors (see below), whose sum is σ = 2013216375060. Its totient is φ = 2013048265008.

The previous prime is 2013132319973. The next prime is 2013132320107. The reversal of 2013132320033 is 3300232313102.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1340760199744 + 672372120289 = 1157912^2 + 819983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013132320033 is a prime.

It is a super-2 number, since 2×2013132320033² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013132319990 and 2013132320008.

It is not an unprimeable number, because it can be changed into a prime (2013132320933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41991578 + ... + 42039491.

It is an arithmetic number, because the mean of its divisors is an integer number (503304093765).

Almost surely, 2^{2013132320033} is an apocalyptic number.

It is an amenable number.

2013132320033 is a deficient number, since it is larger than the sum of its proper divisors (84055027).

2013132320033 is an equidigital number, since it uses as much as digits as its factorization.

2013132320033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84055026.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2013132320033 its reverse (3300232313102), we get a palindrome (5313364633135).

The spelling of 2013132320033 in words is "two trillion, thirteen billion, one hundred thirty-two million, three hundred twenty thousand, thirty-three".