2100220313 has 2 divisors, whose sum is σ = 2100220314. Its totient is φ = 2100220312.

The previous prime is 2100220303. The next prime is 2100220337. The reversal of 2100220313 is 3130220012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1662029824 + 438190489 = 40768^2 + 20933^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100220313 - 2⁶ = 2100220249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100220303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050110156 + 1050110157.

It is an arithmetic number, because the mean of its divisors is an integer number (1050110157).

Almost surely, 2^2100220313 is an apocalyptic number.

It is an amenable number.

2100220313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100220313 is an equidigital number, since it uses as much as digits as its factorization.

2100220313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2100220313 is about 45828.1606984177. The cubic root of 2100220313 is about 1280.6239456815.

Adding to 2100220313 its reverse (3130220012), we get a palindrome (5230440325).

The spelling of 2100220313 in words is "two billion, one hundred million, two hundred twenty thousand, three hundred thirteen".