1300313100 has 72 divisors (see below), whose sum is σ = 3773383488. Its totient is φ = 345723200.

The previous prime is 1300313071. The next prime is 1300313123. The reversal of 1300313100 is 13130031.

It is a super-2 number, since 2×1300313100² = 3381628316063220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97855 + ... + 110345.

It is an arithmetic number, because the mean of its divisors is an integer number (52408104).

Almost surely, 2^1300313100 is an apocalyptic number.

1300313100 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 1300313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886691744).

1300313100 is an abundant number, since it is smaller than the sum of its proper divisors (2473070388).

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

1300313100 is a wasteful number, since it uses less digits than its factorization.

1300313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12855 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1300313100 is about 36059.8544090239. The cubic root of 1300313100 is about 1091.4804952872.

Adding to 1300313100 its reverse (13130031), we get a palindrome (1313443131).

The spelling of 1300313100 in words is "one billion, three hundred million, three hundred thirteen thousand, one hundred".