1303133100100 has 36 divisors (see below), whose sum is σ = 3045321816964. Its totient is φ = 481156836480.

The previous prime is 1303133100077. The next prime is 1303133100133. The reversal of 1303133100100 is 10013313031.

It can be written as a sum of positive squares in 6 ways, for example, as 445038420544 + 858094679556 = 667112^2 + 926334^2 .

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 11 ways as a sum of consecutive naturals, for example, 501203739 + ... + 501206338.

Almost surely, 2^{1303133100100} is an apocalyptic number.

1303133100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303133100100 is an abundant number, since it is smaller than the sum of its proper divisors (1742188716864).

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

1303133100100 is a wasteful number, since it uses less digits than its factorization.

1303133100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002410104 (or 1002410097 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1303133100100 its reverse (10013313031), we get a palindrome (1313146413131).

The spelling of 1303133100100 in words is "one trillion, three hundred three billion, one hundred thirty-three million, one hundred thousand, one hundred".