13125333433040 has 120 divisors (see below), whose sum is σ = 30845925901800. Its totient is φ = 5194037302272.

The previous prime is 13125333432943. The next prime is 13125333433061. The reversal of 13125333433040 is 4033433352131.

It can be written as a sum of positive squares in 4 ways, for example, as 8310328279696 + 4815005153344 = 2882764^2 + 2194312^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927643886 + ... + 927658034.

It is an arithmetic number, because the mean of its divisors is an integer number (257049382515).

Almost surely, 2^{13125333433040} is an apocalyptic number.

13125333433040 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 13125333433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422962950900).

13125333433040 is an abundant number, since it is smaller than the sum of its proper divisors (17720592468760).

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

13125333433040 is a wasteful number, since it uses less digits than its factorization.

13125333433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15461 (or 15352 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 35.

Adding to 13125333433040 its reverse (4033433352131), we get a palindrome (17158766785171).

The spelling of 13125333433040 in words is "thirteen trillion, one hundred twenty-five billion, three hundred thirty-three million, four hundred thirty-three thousand, forty".