1330816032100 has 27 divisors (see below), whose sum is σ = 2887895823211. Its totient is φ = 532321798400.

The previous prime is 1330816032059. The next prime is 1330816032131. The reversal of 1330816032100 is 12306180331.

The square root of 1330816032100 is 1153610.

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 125580931876 + 1205235100224 = 354374^2 + 1097832^2 .

It is a super-2 number, since 2×1330816032100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11478420 + ... + 11593780.

Almost surely, 2^{1330816032100} is an apocalyptic number.

1330816032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1330816032100 is the 1153610-th square number.

It is an amenable number.

1330816032100 is an abundant number, since it is smaller than the sum of its proper divisors (1557079791111).

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

1330816032100 is an frugal number, since it uses more digits than its factorization.

1330816032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230736 (or 115368 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 1330816032100 in words is "one trillion, three hundred thirty billion, eight hundred sixteen million, thirty-two thousand, one hundred".