13101041141340 has 192 divisors, whose sum is σ = 37931699215872. Its totient is φ = 3376493568000.

The previous prime is 13101041141257. The next prime is 13101041141393. The reversal of 13101041141340 is 4314114010131.

It is a self number, because there is not a number n which added to its sum of digits gives 13101041141340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175178155 + ... + 175252925.

It is an arithmetic number, because the mean of its divisors is an integer number (197560933416).

Almost surely, 2^{13101041141340} is an apocalyptic number.

13101041141340 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 13101041141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18965849607936).

13101041141340 is an abundant number, since it is smaller than the sum of its proper divisors (24830658074532).

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

13101041141340 is a wasteful number, since it uses less digits than its factorization.

13101041141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75540 (or 75538 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13101041141340 its reverse (4314114010131), we get a palindrome (17415155151471).

The spelling of 13101041141340 in words is "thirteen trillion, one hundred one billion, forty-one million, one hundred forty-one thousand, three hundred forty".