1313300333400 has 192 divisors, whose sum is σ = 4450945835520. Its totient is φ = 317687462400.

The previous prime is 1313300333381. The next prime is 1313300333419. The reversal of 1313300333400 is 43330033131.

It is an interprime number because it is at equal distance from previous prime (1313300333381) and next prime (1313300333419).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2840914 + ... + 3270686.

It is an arithmetic number, because the mean of its divisors is an integer number (23182009560).

Almost surely, 2^{1313300333400} is an apocalyptic number.

1313300333400 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 1313300333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225472917760).

1313300333400 is an abundant number, since it is smaller than the sum of its proper divisors (3137645502120).

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

1313300333400 is a wasteful number, since it uses less digits than its factorization.

1313300333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430266 (or 430257 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 1313300333400 its reverse (43330033131), we get a palindrome (1356630366531).

The spelling of 1313300333400 in words is "one trillion, three hundred thirteen billion, three hundred million, three hundred thirty-three thousand, four hundred".