2301806901313 has 2 divisors, whose sum is σ = 2301806901314. Its totient is φ = 2301806901312.

The previous prime is 2301806901311. The next prime is 2301806901319. The reversal of 2301806901313 is 3131096081032.

2301806901313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2294776581904 + 7030319409 = 1514852^2 + 83847^2 .

It is a cyclic number.

It is not a de Polignac number, because 2301806901313 - 2¹ = 2301806901311 is a prime.

It is a super-2 number, since 2×2301806901313² (a number of 26 digits) contains 22 as substring.

Together with 2301806901311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2301806901311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150903450656 + 1150903450657.

It is an arithmetic number, because the mean of its divisors is an integer number (1150903450657).

Almost surely, 2^{2301806901313} is an apocalyptic number.

It is an amenable number.

2301806901313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301806901313 is an equidigital number, since it uses as much as digits as its factorization.

2301806901313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 2301806901313 in words is "two trillion, three hundred one billion, eight hundred six million, nine hundred one thousand, three hundred thirteen".