1313444031400 has 96 divisors (see below), whose sum is σ = 3090964219200. Its totient is φ = 519001459200.

The previous prime is 1313444031397. The next prime is 1313444031401. The reversal of 1313444031400 is 41304443131.

It is a happy number.

It is a super-4 number, since 4×1313444031400⁴ (a number of 50 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313444031401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8347455 + ... + 8503345.

It is an arithmetic number, because the mean of its divisors is an integer number (32197543950).

Almost surely, 2^{1313444031400} is an apocalyptic number.

1313444031400 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 1313444031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545482109600).

1313444031400 is an abundant number, since it is smaller than the sum of its proper divisors (1777520187800).

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

1313444031400 is a wasteful number, since it uses less digits than its factorization.

1313444031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156419 (or 156410 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1313444031400 its reverse (41304443131), we get a palindrome (1354748474531).

The spelling of 1313444031400 in words is "one trillion, three hundred thirteen billion, four hundred forty-four million, thirty-one thousand, four hundred".