1303867096900 has 81 divisors (see below), whose sum is σ = 2863771807351. Its totient is φ = 515284823680.

The previous prime is 1303867096897. The next prime is 1303867096907. The reversal of 1303867096900 is 96907683031.

The square root of 1303867096900 is 1141870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 271334726404 + 1032532370496 = 520898^2 + 1016136^2 .

It is a super-2 number, since 2×1303867096900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303867096907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1016263659 + ... + 1016264941.

Almost surely, 2^{1303867096900} is an apocalyptic number.

1303867096900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1303867096900 is the 1141870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303867096900

1303867096900 is an abundant number, since it is smaller than the sum of its proper divisors (1559904710451).

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

1303867096900 is an frugal number, since it uses more digits than its factorization.

1303867096900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 1303867096900 in words is "one trillion, three hundred three billion, eight hundred sixty-seven million, ninety-six thousand, nine hundred".