1313090160101 has 16 divisors (see below), whose sum is σ = 1402608527280. Its totient is φ = 1224974499840.

The previous prime is 1313090160089. The next prime is 1313090160157. The reversal of 1313090160101 is 1010610903131.

It can be written as a sum of positive squares in 8 ways, for example, as 304622309476 + 1008467850625 = 551926^2 + 1004225^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1313090160101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313090160001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490181 + ... + 1693061.

It is an arithmetic number, because the mean of its divisors is an integer number (87663032955).

Almost surely, 2^{1313090160101} is an apocalyptic number.

It is an amenable number.

1313090160101 is a deficient number, since it is larger than the sum of its proper divisors (89518367179).

1313090160101 is a wasteful number, since it uses less digits than its factorization.

1313090160101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203464.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 1313090160101 in words is "one trillion, three hundred thirteen billion, ninety million, one hundred sixty thousand, one hundred one".