1321000825104 has 225 divisors, whose sum is σ = 3957525529815. Its totient is φ = 411282688320.

The previous prime is 1321000825073. The next prime is 1321000825117. The reversal of 1321000825104 is 4015280001231.

The square root of 1321000825104 is 1149348.

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

1321000825104 is a `hidden beast` number, since 132 + 10 + 0 + 0 + 8 + 2 + 510 + 4 = 666.

It is a super-2 number, since 2×1321000825104² (a number of 25 digits) contains 22 as substring.

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 44 ways as a sum of consecutive naturals, for example, 18605645389 + ... + 18605645459.

Almost surely, 2^{1321000825104} is an apocalyptic number.

1321000825104 is the 1149348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321000825104

1321000825104 is an abundant number, since it is smaller than the sum of its proper divisors (2636524704711).

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

1321000825104 is an frugal number, since it uses more digits than its factorization.

1321000825104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1321000825104 its reverse (4015280001231), we get a palindrome (5336280826335).

The spelling of 1321000825104 in words is "one trillion, three hundred twenty-one billion, eight hundred twenty-five thousand, one hundred four".