1303133100 has 72 divisors (see below), whose sum is σ = 3774133440. Its totient is φ = 347158080.

The previous prime is 1303133099. The next prime is 1303133119. The reversal of 1303133100 is 13313031.

It is a super-2 number, since 2×1303133100² = 3396311752631220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1303133100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484359 + ... + 487041.

It is an arithmetic number, because the mean of its divisors is an integer number (52418520).

Almost surely, 2^1303133100 is an apocalyptic number.

1303133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303133100 is an abundant number, since it is smaller than the sum of its proper divisors (2471000340).

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

1303133100 is a wasteful number, since it uses less digits than its factorization.

1303133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1303133100 is about 36098.9348873343. The cubic root of 1303133100 is about 1092.2689599006.

Adding to 1303133100 its reverse (13313031), we get a palindrome (1316446131).

The spelling of 1303133100 in words is "one billion, three hundred three million, one hundred thirty-three thousand, one hundred".