1313134313131 has 16 divisors (see below), whose sum is σ = 1321379712000. Its totient is φ = 1304915105088.

The previous prime is 1313134313119. The next prime is 1313134313177.

1313134313131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1313134313131 - 2¹⁵ = 1313134280363 is a prime.

It is a super-2 number, since 2×1313134313131² (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 1313134313131.

It is not an unprimeable number, because it can be changed into a prime (1313134313191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282452895 + ... + 282457543.

It is an arithmetic number, because the mean of its divisors is an integer number (82586232000).

Almost surely, 2^{1313134313131} is an apocalyptic number.

1313134313131 is a deficient number, since it is larger than the sum of its proper divisors (8245398869).

1313134313131 is a wasteful number, since it uses less digits than its factorization.

1313134313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7098.

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 131313 and 4313131, that added together give a palindrome (4444444).

The spelling of 1313134313131 in words is "one trillion, three hundred thirteen billion, one hundred thirty-four million, three hundred thirteen thousand, one hundred thirty-one".