13353452142540 has 288 divisors, whose sum is σ = 40057558248960. Its totient is φ = 3322611532800.

The previous prime is 13353452142517. The next prime is 13353452142593. The reversal of 13353452142540 is 4524125435331.

It is a super-2 number, since 2×13353452142540² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13353452142492 and 13353452142501.

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, 1736240095 + ... + 1736247785.

It is an arithmetic number, because the mean of its divisors is an integer number (139088743920).

Almost surely, 2^{13353452142540} is an apocalyptic number.

13353452142540 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 13353452142540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20028779124480).

13353452142540 is an abundant number, since it is smaller than the sum of its proper divisors (26704106106420).

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

13353452142540 is a wasteful number, since it uses less digits than its factorization.

13353452142540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8941 (or 8920 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 13353452142540 its reverse (4524125435331), we get a palindrome (17877577577871).

The spelling of 13353452142540 in words is "thirteen trillion, three hundred fifty-three billion, four hundred fifty-two million, one hundred forty-two thousand, five hundred forty".