13101013324140 has 144 divisors (see below), whose sum is σ = 44917760160000. Its totient is φ = 2836911143808.

The previous prime is 13101013324123. The next prime is 13101013324187. The reversal of 13101013324140 is 4142331010131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13101013324140.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117210640 + ... + 117322359.

It is an arithmetic number, because the mean of its divisors is an integer number (311928890000).

Almost surely, 2^{13101013324140} is an apocalyptic number.

13101013324140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101013324140 is an abundant number, since it is smaller than the sum of its proper divisors (31816746835860).

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

13101013324140 is a wasteful number, since it uses less digits than its factorization.

13101013324140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234533044 (or 234533035 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13101013324140 its reverse (4142331010131), we get a palindrome (17243344334271).

The spelling of 13101013324140 in words is "thirteen trillion, one hundred one billion, thirteen million, three hundred twenty-four thousand, one hundred forty".