1310013313301 has 32 divisors (see below), whose sum is σ = 1650547971072. Its totient is φ = 1010035301760.

The previous prime is 1310013313291. The next prime is 1310013313303. The reversal of 1310013313301 is 1033133100131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1310013313301 is a prime.

It is a super-2 number, since 2×1310013313301² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310013313303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3036290 + ... + 3440796.

It is an arithmetic number, because the mean of its divisors is an integer number (51579624096).

Almost surely, 2^{1310013313301} is an apocalyptic number.

1310013313301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1310013313301 is a deficient number, since it is larger than the sum of its proper divisors (340534657771).

1310013313301 is a wasteful number, since it uses less digits than its factorization.

1310013313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404969.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 1310013313301 its reverse (1033133100131), we get a palindrome (2343146413432).

The spelling of 1310013313301 in words is "one trillion, three hundred ten billion, thirteen million, three hundred thirteen thousand, three hundred one".