2130313103313 has 24 divisors (see below), whose sum is σ = 3021787030272. Its totient is φ = 1334692280064.

The previous prime is 2130313103293. The next prime is 2130313103351. The reversal of 2130313103313 is 3133013130312.

It is not a de Polignac number, because 2130313103313 - 2¹⁴ = 2130313086929 is a prime.

It is a super-2 number, since 2×2130313103313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2130313103363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1227745 + ... + 2401662.

It is an arithmetic number, because the mean of its divisors is an integer number (125907792928).

Almost surely, 2^{2130313103313} is an apocalyptic number.

It is an amenable number.

2130313103313 is a deficient number, since it is larger than the sum of its proper divisors (891473926959).

2130313103313 is a wasteful number, since it uses less digits than its factorization.

2130313103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630121 (or 3630104 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 2130313103313 its reverse (3133013130312), we get a palindrome (5263326233625).

The spelling of 2130313103313 in words is "two trillion, one hundred thirty billion, three hundred thirteen million, one hundred three thousand, three hundred thirteen".