1310003201013 has 16 divisors (see below), whose sum is σ = 1881767750016. Its totient is φ = 805839739200.

The previous prime is 1310003200993. The next prime is 1310003201029. The reversal of 1310003201013 is 3101023000131.

It is not a de Polignac number, because 1310003201013 - 2⁶ = 1310003200949 is a prime.

It is a super-2 number, since 2×1310003201013² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310003200983 and 1310003201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310003201033) 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, 6484170 + ... + 6683147.

It is an arithmetic number, because the mean of its divisors is an integer number (117610484376).

Almost surely, 2^{1310003201013} is an apocalyptic number.

1310003201013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310003201013 is a deficient number, since it is larger than the sum of its proper divisors (571764549003).

1310003201013 is a wasteful number, since it uses less digits than its factorization.

1310003201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13169884.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1310003201013 its reverse (3101023000131), we get a palindrome (4411026201144).

The spelling of 1310003201013 in words is "one trillion, three hundred ten billion, three million, two hundred one thousand, thirteen".