1305121100 has 36 divisors (see below), whose sum is σ = 2835240408. Its totient is φ = 521472000.

The previous prime is 1305121043. The next prime is 1305121109. The reversal of 1305121100 is 11215031.

It is not an unprimeable number, because it can be changed into a prime (1305121109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90380 + ... + 103820.

It is an arithmetic number, because the mean of its divisors is an integer number (78756678).

Almost surely, 2^1305121100 is an apocalyptic number.

1305121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305121100 is an abundant number, since it is smaller than the sum of its proper divisors (1530119308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305121100 is a wasteful number, since it uses less digits than its factorization.

1305121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14426 (or 14419 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1305121100 is about 36126.4598320954. The cubic root of 1305121100 is about 1092.8241161404.

Adding to 1305121100 its reverse (11215031), we get a palindrome (1316336131).

The spelling of 1305121100 in words is "one billion, three hundred five million, one hundred twenty-one thousand, one hundred".