1313620620165 has 288 divisors, whose sum is σ = 2790639101952. Its totient is φ = 569213568000.

The previous prime is 1313620620149. The next prime is 1313620620197. The reversal of 1313620620165 is 5610260263131.

1313620620165 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 6 + 20 + 620 + 1 + 6 + 5 = 666.

It is not a de Polignac number, because 1313620620165 - 2⁴ = 1313620620149 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1296762199 + ... + 1296763211.

It is an arithmetic number, because the mean of its divisors is an integer number (9689719104).

Almost surely, 2^{1313620620165} is an apocalyptic number.

1313620620165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1313620620165 is an abundant number, since it is smaller than the sum of its proper divisors (1477018481787).

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

1313620620165 is a wasteful number, since it uses less digits than its factorization.

1313620620165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 1313620620165 its reverse (5610260263131), we get a palindrome (6923880883296).

The spelling of 1313620620165 in words is "one trillion, three hundred thirteen billion, six hundred twenty million, six hundred twenty thousand, one hundred sixty-five".