2181301313 has 2 divisors, whose sum is σ = 2181301314. Its totient is φ = 2181301312.

The previous prime is 2181301307. The next prime is 2181301319. The reversal of 2181301313 is 3131031812.

It is a balanced prime because it is at equal distance from previous prime (2181301307) and next prime (2181301319).

It can be written as a sum of positive squares in only one way, i.e., 1209857089 + 971444224 = 34783^2 + 31168^2 .

It is a cyclic number.

It is not a de Polignac number, because 2181301313 - 2¹⁸ = 2181039169 is a prime.

It is not a weakly prime, because it can be changed into another prime (2181301319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1090650656 + 1090650657.

It is an arithmetic number, because the mean of its divisors is an integer number (1090650657).

Almost surely, 2^2181301313 is an apocalyptic number.

It is an amenable number.

2181301313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2181301313 is an equidigital number, since it uses as much as digits as its factorization.

2181301313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2181301313 is about 46704.4035718261. The cubic root of 2181301313 is about 1296.8962075231.

The spelling of 2181301313 in words is "two billion, one hundred eighty-one million, three hundred one thousand, three hundred thirteen".