1300313332100 has 18 divisors (see below), whose sum is σ = 2821679930874. Its totient is φ = 520125332800.

The previous prime is 1300313332037. The next prime is 1300313332103. The reversal of 1300313332100 is 12333130031.

It can be written as a sum of positive squares in 3 ways, for example, as 243609664 + 1300069722436 = 15608^2 + 1140206^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1300313332103) 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 5 ways as a sum of consecutive naturals, for example, 6501566561 + ... + 6501566760.

Almost surely, 2^{1300313332100} is an apocalyptic number.

1300313332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300313332100 is an abundant number, since it is smaller than the sum of its proper divisors (1521366598774).

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

1300313332100 is a wasteful number, since it uses less digits than its factorization.

1300313332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13003133335 (or 13003133328 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1300313332100 its reverse (12333130031), we get a palindrome (1312646462131).

The spelling of 1300313332100 in words is "one trillion, three hundred billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred".