13181003324840 has 512 divisors, whose sum is σ = 34726396723200. Its totient is φ = 4462877675520.

The previous prime is 13181003324807. The next prime is 13181003324851. The reversal of 13181003324840 is 4842330018131.

It is a super-2 number, since 2×13181003324840² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13181003324794 and 13181003324803.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28224846287 + ... + 28224846753.

It is an arithmetic number, because the mean of its divisors is an integer number (67824993600).

Almost surely, 2^{13181003324840} is an apocalyptic number.

13181003324840 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 13181003324840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17363198361600).

13181003324840 is an abundant number, since it is smaller than the sum of its proper divisors (21545393398360).

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

13181003324840 is a wasteful number, since it uses less digits than its factorization.

13181003324840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 13181003324840 in words is "thirteen trillion, one hundred eighty-one billion, three million, three hundred twenty-four thousand, eight hundred forty".