1313352420030 has 192 divisors, whose sum is σ = 3938229854208. Its totient is φ = 297459993600.

The previous prime is 1313352419971. The next prime is 1313352420047. The reversal of 1313352420030 is 300242533131.

1313352420030 is a `hidden beast` number, since 1 + 3 + 133 + 524 + 2 + 0 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1313352419976 and 1313352420003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34587555 + ... + 34625505.

It is an arithmetic number, because the mean of its divisors is an integer number (20511613824).

Almost surely, 2^{1313352420030} is an apocalyptic number.

1313352420030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313352420030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969114927104).

1313352420030 is an abundant number, since it is smaller than the sum of its proper divisors (2624877434178).

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

1313352420030 is a wasteful number, since it uses less digits than its factorization.

1313352420030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38471 (or 38468 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1313352420030 its reverse (300242533131), we get a palindrome (1613594953161).

The spelling of 1313352420030 in words is "one trillion, three hundred thirteen billion, three hundred fifty-two million, four hundred twenty thousand, thirty".