13105401225312 has 48 divisors (see below), whose sum is σ = 37529103511872. Its totient is φ = 3971333704320.

The previous prime is 13105401225307. The next prime is 13105401225317. The reversal of 13105401225312 is 21352210450131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13105401225307) and next prime (13105401225317).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13105401225312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105401225317) 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, 6205207858 + ... + 6205209969.

It is an arithmetic number, because the mean of its divisors is an integer number (781856323164).

Almost surely, 2^{13105401225312} is an apocalyptic number.

13105401225312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13105401225312 is an abundant number, since it is smaller than the sum of its proper divisors (24423702286560).

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

13105401225312 is a wasteful number, since it uses less digits than its factorization.

13105401225312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12410417851 (or 12410417843 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 13105401225312 its reverse (21352210450131), we get a palindrome (34457611675443).

The spelling of 13105401225312 in words is "thirteen trillion, one hundred five billion, four hundred one million, two hundred twenty-five thousand, three hundred twelve".