1313333200032 has 288 divisors, whose sum is σ = 4046333054400. Its totient is φ = 371881746432.

The previous prime is 1313333200021. The next prime is 1313333200139. The reversal of 1313333200032 is 2300023333131.

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

It is a junction number, because it is equal to n+sod(n) for n = 1313333199975 and 1313333200011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463582488 + ... + 463585320.

It is an arithmetic number, because the mean of its divisors is an integer number (14049767550).

Almost surely, 2^{1313333200032} is an apocalyptic number.

1313333200032 is a gapful number since it is divisible by the number (12) 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 1313333200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023166527200).

1313333200032 is an abundant number, since it is smaller than the sum of its proper divisors (2732999854368).

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

1313333200032 is a wasteful number, since it uses less digits than its factorization.

1313333200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3693 counting only the distinct ones).

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

Adding to 1313333200032 its reverse (2300023333131), we get a palindrome (3613356533163).

The spelling of 1313333200032 in words is "one trillion, three hundred thirteen billion, three hundred thirty-three million, two hundred thousand, thirty-two".