1315414117601 has 16 divisors (see below), whose sum is σ = 1464173760000. Its totient is φ = 1176568156800.

The previous prime is 1315414117597. The next prime is 1315414117607. The reversal of 1315414117601 is 1067114145131.

It is a cyclic number.

It is not a de Polignac number, because 1315414117601 - 2² = 1315414117597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1315414117607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27211226 + ... + 27259523.

It is an arithmetic number, because the mean of its divisors is an integer number (91510860000).

Almost surely, 2^{1315414117601} is an apocalyptic number.

It is an amenable number.

1315414117601 is a deficient number, since it is larger than the sum of its proper divisors (148759642399).

1315414117601 is a wasteful number, since it uses less digits than its factorization.

1315414117601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54470840.

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 1315414117601 in words is "one trillion, three hundred fifteen billion, four hundred fourteen million, one hundred seventeen thousand, six hundred one".