133313330143240 has 128 divisors (see below), whose sum is σ = 331000834237920. Its totient is φ = 48009223987200.

The previous prime is 133313330143223. The next prime is 133313330143267. The reversal of 133313330143240 is 42341033313331.

It can be written as a sum of positive squares in 16 ways, for example, as 33091647421156 + 100221682722084 = 5752534^2 + 10011078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133313330143196 and 133313330143205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74611182 + ... + 76377058.

Almost surely, 2^{133313330143240} is an apocalyptic number.

133313330143240 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 133313330143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165500417118960).

133313330143240 is an abundant number, since it is smaller than the sum of its proper divisors (197687504094680).

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

133313330143240 is a wasteful number, since it uses less digits than its factorization.

133313330143240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769483 (or 1769479 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 34.

Adding to 133313330143240 its reverse (42341033313331), we get a palindrome (175654363456571).

The spelling of 133313330143240 in words is "one hundred thirty-three trillion, three hundred thirteen billion, three hundred thirty million, one hundred forty-three thousand, two hundred forty".