2013302131321 has 4 divisors (see below), whose sum is σ = 2168171526052. Its totient is φ = 1858432736592.

The previous prime is 2013302131301. The next prime is 2013302131327. The reversal of 2013302131321 is 1231312033102.

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 1309273735225 + 704028396096 = 1144235^2 + 839064^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013302131321 - 2⁵ = 2013302131289 is a prime.

It is a super-2 number, since 2×2013302131321² (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 = 2013302131292 and 2013302131301.

It is not an unprimeable number, because it can be changed into a prime (2013302131327) 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, 77434697346 + ... + 77434697371.

It is an arithmetic number, because the mean of its divisors is an integer number (542042881513).

Almost surely, 2^{2013302131321} is an apocalyptic number.

It is an amenable number.

2013302131321 is a deficient number, since it is larger than the sum of its proper divisors (154869394731).

2013302131321 is a wasteful number, since it uses less digits than its factorization.

2013302131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154869394730.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2013302131321 its reverse (1231312033102), we get a palindrome (3244614164423).

The spelling of 2013302131321 in words is "two trillion, thirteen billion, three hundred two million, one hundred thirty-one thousand, three hundred twenty-one".