1305102213 has 24 divisors (see below), whose sum is σ = 1958611200. Its totient is φ = 868447008.

The previous prime is 1305102187. The next prime is 1305102247. The reversal of 1305102213 is 3122015031.

1305102213 is a `hidden beast` number, since 130 + 510 + 2 + 21 + 3 = 666.

It is not a de Polignac number, because 1305102213 - 2⁵ = 1305102181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305102413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133548 + ... + 142986.

It is an arithmetic number, because the mean of its divisors is an integer number (81608800).

Almost surely, 2^1305102213 is an apocalyptic number.

It is an amenable number.

1305102213 is a deficient number, since it is larger than the sum of its proper divisors (653508987).

1305102213 is an frugal number, since it uses more digits than its factorization.

1305102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10023 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1305102213 is about 36126.1984299483. The cubic root of 1305102213 is about 1092.8188445303.

Adding to 1305102213 its reverse (3122015031), we get a palindrome (4427117244).

The spelling of 1305102213 in words is "one billion, three hundred five million, one hundred two thousand, two hundred thirteen".