13105401335040 has 288 divisors, whose sum is σ = 47839470852096. Its totient is φ = 2995222487040.

The previous prime is 13105401335003. The next prime is 13105401335101. The reversal of 13105401335040 is 4053310450131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13105401334989 and 13105401335007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382834725 + ... + 382868955.

It is an arithmetic number, because the mean of its divisors is an integer number (166109273792).

Almost surely, 2^{13105401335040} is an apocalyptic number.

13105401335040 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 13105401335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23919735426048).

13105401335040 is an abundant number, since it is smaller than the sum of its proper divisors (34734069517056).

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

13105401335040 is a wasteful number, since it uses less digits than its factorization.

13105401335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48505 (or 48491 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 13105401335040 its reverse (4053310450131), we get a palindrome (17158711785171).

The spelling of 13105401335040 in words is "thirteen trillion, one hundred five billion, four hundred one million, three hundred thirty-five thousand, forty".