1313022330000 has 600 divisors, whose sum is σ = 4733525730648. Its totient is φ = 339406848000.

The previous prime is 1313022329959. The next prime is 1313022330013. The reversal of 1313022330000 is 332203131.

1313022330000 is a `hidden beast` number, since 1 + 31 + 302 + 2 + 330 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 1313013473424 + 8856576 = 1145868^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1175489442 + ... + 1175490558.

Almost surely, 2^{1313022330000} is an apocalyptic number.

1313022330000 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 1313022330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366762865324).

1313022330000 is an abundant number, since it is smaller than the sum of its proper divisors (3420503400648).

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

1313022330000 is a wasteful number, since it uses less digits than its factorization.

1313022330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1313022330000 its reverse (332203131), we get a palindrome (1313354533131).

The spelling of 1313022330000 in words is "one trillion, three hundred thirteen billion, twenty-two million, three hundred thirty thousand".