13201331403240 has 384 divisors, whose sum is σ = 47070616320000. Its totient is φ = 3318304796928.

The previous prime is 13201331403187. The next prime is 13201331403251. The reversal of 13201331403240 is 4230413310231.

It is a happy number.

13201331403240 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 331 + 4 + 0 + 324 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36571717 + ... + 36930923.

It is an arithmetic number, because the mean of its divisors is an integer number (122579730000).

Almost surely, 2^{13201331403240} is an apocalyptic number.

13201331403240 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 13201331403240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23535308160000).

13201331403240 is an abundant number, since it is smaller than the sum of its proper divisors (33869284916760).

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

13201331403240 is a wasteful number, since it uses less digits than its factorization.

13201331403240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359451 (or 359435 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13201331403240 its reverse (4230413310231), we get a palindrome (17431744713471).

The spelling of 13201331403240 in words is "thirteen trillion, two hundred one billion, three hundred thirty-one million, four hundred three thousand, two hundred forty".