1313433133044 has 96 divisors (see below), whose sum is σ = 3255673792896. Its totient is φ = 410697154560.

The previous prime is 1313433133043. The next prime is 1313433133049. The reversal of 1313433133044 is 4403313343131.

It is a junction number, because it is equal to n+sod(n) for n = 1313433132996 and 1313433133014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313433133043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284229054 + ... + 284233674.

It is an arithmetic number, because the mean of its divisors is an integer number (33913268676).

Almost surely, 2^{1313433133044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313433133044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627836896448).

1313433133044 is an abundant number, since it is smaller than the sum of its proper divisors (1942240659852).

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

1313433133044 is a wasteful number, since it uses less digits than its factorization.

1313433133044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 1313433133044 its reverse (4403313343131), we get a palindrome (5716746476175).

The spelling of 1313433133044 in words is "one trillion, three hundred thirteen billion, four hundred thirty-three million, one hundred thirty-three thousand, forty-four".