1310001001413 has 16 divisors (see below), whose sum is σ = 1980028505280. Its totient is φ = 763725279744.

The previous prime is 1310001001363. The next prime is 1310001001423. The reversal of 1310001001413 is 3141001000131.

It is not a de Polignac number, because 1310001001413 - 2²⁸ = 1309732565957 is a prime.

It is a super-2 number, since 2×1310001001413² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310001001392 and 1310001001401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310001001423) 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, 883940556 + ... + 883942037.

It is an arithmetic number, because the mean of its divisors is an integer number (123751781580).

Almost surely, 2^{1310001001413} is an apocalyptic number.

1310001001413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310001001413 is a deficient number, since it is larger than the sum of its proper divisors (670027503867).

1310001001413 is a wasteful number, since it uses less digits than its factorization.

1310001001413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767882628.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1310001001413 its reverse (3141001000131), we get a palindrome (4451002001544).

The spelling of 1310001001413 in words is "one trillion, three hundred ten billion, one million, one thousand, four hundred thirteen".