13101241241040 has 40 divisors (see below), whose sum is σ = 40613847847968. Its totient is φ = 3493664330880.

The previous prime is 13101241240979. The next prime is 13101241241047. The reversal of 13101241241040 is 4014214210131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13101241241040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101241241047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27294252346 + ... + 27294252825.

Almost surely, 2^{13101241241040} is an apocalyptic number.

13101241241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101241241040 is an abundant number, since it is smaller than the sum of its proper divisors (27512606606928).

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

13101241241040 is a wasteful number, since it uses less digits than its factorization.

13101241241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54588505187 (or 54588505181 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 13101241241040 its reverse (4014214210131), we get a palindrome (17115455451171).

The spelling of 13101241241040 in words is "thirteen trillion, one hundred one billion, two hundred forty-one million, two hundred forty-one thousand, forty".