13253032131240 has 256 divisors, whose sum is σ = 44032450176000. Its totient is φ = 3164074721280.

The previous prime is 13253032131221. The next prime is 13253032131247. The reversal of 13253032131240 is 4213123035231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13253032131198 and 13253032131207.

It is not an unprimeable number, because it can be changed into a prime (13253032131247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379301691 + ... + 379336629.

It is an arithmetic number, because the mean of its divisors is an integer number (172001758500).

Almost surely, 2^{13253032131240} is an apocalyptic number.

13253032131240 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 13253032131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22016225088000).

13253032131240 is an abundant number, since it is smaller than the sum of its proper divisors (30779418044760).

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

13253032131240 is a wasteful number, since it uses less digits than its factorization.

13253032131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39320 (or 39316 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13253032131240 its reverse (4213123035231), we get a palindrome (17466155166471).

It can be divided in two parts, 1325303 and 2131240, that added together give a palindrome (3456543).

The spelling of 13253032131240 in words is "thirteen trillion, two hundred fifty-three billion, thirty-two million, one hundred thirty-one thousand, two hundred forty".