1313103133331 has 24 divisors (see below), whose sum is σ = 1482562116672. Its totient is φ = 1161439804800.

The previous prime is 1313103133319. The next prime is 1313103133369. The reversal of 1313103133331 is 1333313013131.

It is a happy number.

It is not a de Polignac number, because 1313103133331 - 2¹⁸ = 1313102871187 is a prime.

It is a super-2 number, since 2×1313103133331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1313103133331.

It is not an unprimeable number, because it can be changed into a prime (1313103133031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1460081 + ... + 2181293.

It is an arithmetic number, because the mean of its divisors is an integer number (61773421528).

Almost surely, 2^{1313103133331} is an apocalyptic number.

1313103133331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313103133331 is a deficient number, since it is larger than the sum of its proper divisors (169458983341).

1313103133331 is a wasteful number, since it uses less digits than its factorization.

1313103133331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721643 (or 721632 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 1313103133331 its reverse (1333313013131), we get a palindrome (2646416146462).

The spelling of 1313103133331 in words is "one trillion, three hundred thirteen billion, one hundred three million, one hundred thirty-three thousand, three hundred thirty-one".