1300104120 has 128 divisors (see below), whose sum is σ = 4465267200. Its totient is φ = 296649216.

The previous prime is 1300104109. The next prime is 1300104131. The reversal of 1300104120 is 214010031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1300104109) and next prime (1300104131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1300104096 and 1300104105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695427 + ... + 697293.

It is an arithmetic number, because the mean of its divisors is an integer number (34884900).

Almost surely, 2^1300104120 is an apocalyptic number.

1300104120 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 1300104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232633600).

1300104120 is an abundant number, since it is smaller than the sum of its proper divisors (3165163080).

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

1300104120 is a wasteful number, since it uses less digits than its factorization.

1300104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1300104120 is about 36056.9566103408. The cubic root of 1300104120 is about 1091.4220196748.

Adding to 1300104120 its reverse (214010031), we get a palindrome (1514114151).

The spelling of 1300104120 in words is "one billion, three hundred million, one hundred four thousand, one hundred twenty".