1300121100 has 108 divisors (see below), whose sum is σ = 4081941864. Its totient is φ = 346122240.

The previous prime is 1300121083. The next prime is 1300121107. The reversal of 1300121100 is 11210031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1300121107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1067692 + ... + 1068908.

It is an arithmetic number, because the mean of its divisors is an integer number (37795758).

Almost surely, 2^1300121100 is an apocalyptic number.

1300121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040970932).

1300121100 is an abundant number, since it is smaller than the sum of its proper divisors (2781820764).

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

1300121100 is a wasteful number, since it uses less digits than its factorization.

1300121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1300121100 is about 36057.1920703762. The cubic root of 1300121100 is about 1091.4267711571.

Adding to 1300121100 its reverse (11210031), we get a palindrome (1311331131).

The spelling of 1300121100 in words is "one billion, three hundred million, one hundred twenty-one thousand, one hundred".