1303312100 has 72 divisors (see below), whose sum is σ = 2921146368. Its totient is φ = 504403200.

The previous prime is 1303312081. The next prime is 1303312103. The reversal of 1303312100 is 12133031.

It is not an unprimeable number, because it can be changed into a prime (1303312103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519449 + ... + 521951.

Almost surely, 2^1303312100 is an apocalyptic number.

1303312100 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 1303312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460573184).

1303312100 is an abundant number, since it is smaller than the sum of its proper divisors (1617834268).

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

1303312100 is a wasteful number, since it uses less digits than its factorization.

1303312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1303312100 is about 36101.4140997275. The cubic root of 1303312100 is about 1092.3189694231.

Adding to 1303312100 its reverse (12133031), we get a palindrome (1315445131).

The spelling of 1303312100 in words is "one billion, three hundred three million, three hundred twelve thousand, one hundred".