1313013142400 has 192 divisors, whose sum is σ = 3441169818000. Its totient is φ = 493329285120.

The previous prime is 1313013142391. The next prime is 1313013142471. The reversal of 1313013142400 is 42413103131.

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 23 ways as a sum of consecutive naturals, for example, 27665891 + ... + 27713309.

Almost surely, 2^{1313013142400} is an apocalyptic number.

1313013142400 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 1313013142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720584909000).

1313013142400 is an abundant number, since it is smaller than the sum of its proper divisors (2128156675600).

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

1313013142400 is a wasteful number, since it uses less digits than its factorization.

1313013142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47969 (or 47952 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1313013142400 its reverse (42413103131), we get a palindrome (1355426245531).

The spelling of 1313013142400 in words is "one trillion, three hundred thirteen billion, thirteen million, one hundred forty-two thousand, four hundred".