1321010308800 has 1008 divisors, whose sum is σ = 5816398823872. Its totient is φ = 276900249600.

The previous prime is 1321010308763. The next prime is 1321010308811. The reversal of 1321010308800 is 88030101231.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 205729590 + ... + 205736010.

Almost surely, 2^{1321010308800} is an apocalyptic number.

1321010308800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321010308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908199411936).

1321010308800 is an abundant number, since it is smaller than the sum of its proper divisors (4495388515072).

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

1321010308800 is a wasteful number, since it uses less digits than its factorization.

1321010308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1321010308800 in words is "one trillion, three hundred twenty-one billion, ten million, three hundred eight thousand, eight hundred".