2013331310513 has 8 divisors (see below), whose sum is σ = 2026297702632. Its totient is φ = 2000366724096.

The previous prime is 2013331310443. The next prime is 2013331310539. The reversal of 2013331310513 is 3150131333102.

It can be written as a sum of positive squares in 4 ways, for example, as 4558005169 + 2008773305344 = 67513^2 + 1417312^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2013331310513 - 2¹⁸ = 2013331048369 is a prime.

It is a super-3 number, since 3×2013331310513³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013331310593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1822481 + ... + 2710737.

It is an arithmetic number, because the mean of its divisors is an integer number (253287212829).

Almost surely, 2^{2013331310513} is an apocalyptic number.

It is an amenable number.

2013331310513 is a deficient number, since it is larger than the sum of its proper divisors (12966392119).

2013331310513 is a wasteful number, since it uses less digits than its factorization.

2013331310513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902851.

The product of its (nonzero) digits is 2430, while the sum is 26.

Adding to 2013331310513 its reverse (3150131333102), we get a palindrome (5163462643615).

The spelling of 2013331310513 in words is "two trillion, thirteen billion, three hundred thirty-one million, three hundred ten thousand, five hundred thirteen".