2113021313 has 16 divisors (see below), whose sum is σ = 2292138576. Its totient is φ = 1936327680.

The previous prime is 2113021291. The next prime is 2113021327. The reversal of 2113021313 is 3131203112.

It can be written as a sum of positive squares in 8 ways, for example, as 1098789904 + 1014231409 = 33148^2 + 31847^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113021313 - 2⁶ = 2113021249 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2113021291 and 2113021300.

It is not an unprimeable number, because it can be changed into a prime (2113021363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1274381 + ... + 1276037.

It is an arithmetic number, because the mean of its divisors is an integer number (143258661).

Almost surely, 2^2113021313 is an apocalyptic number.

It is an amenable number.

2113021313 is a deficient number, since it is larger than the sum of its proper divisors (179117263).

2113021313 is a wasteful number, since it uses less digits than its factorization.

2113021313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2113021313 is about 45967.6115651009. The cubic root of 2113021313 is about 1283.2205103192.

Adding to 2113021313 its reverse (3131203112), we get a palindrome (5244224425).

The spelling of 2113021313 in words is "two billion, one hundred thirteen million, twenty-one thousand, three hundred thirteen".