13105440554301 has 12 divisors (see below), whose sum is σ = 18934294097628. Its totient is φ = 8735015770944.

The previous prime is 13105440554273. The next prime is 13105440554333. The reversal of 13105440554301 is 10345504450131.

13105440554301 is a `hidden beast` number, since 1 + 3 + 10 + 54 + 40 + 554 + 3 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7434974691225 + 5670465863076 = 2726715^2 + 2381274^2 .

It is not a de Polignac number, because 13105440554301 - 2²² = 13105436359997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105440559301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162007200 + ... + 162088073.

It is an arithmetic number, because the mean of its divisors is an integer number (1577857841469).

Almost surely, 2^{13105440554301} is an apocalyptic number.

It is an amenable number.

13105440554301 is a deficient number, since it is larger than the sum of its proper divisors (5828853543327).

13105440554301 is a wasteful number, since it uses less digits than its factorization.

13105440554301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324099772 (or 324099769 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 13105440554301 in words is "thirteen trillion, one hundred five billion, four hundred forty million, five hundred fifty-four thousand, three hundred one".