13131133113131 has 8 divisors (see below), whose sum is σ = 14333333743344. Its totient is φ = 11930342692320.

The previous prime is 13131133113089. The next prime is 13131133113173.

13131133113131 is nontrivially palindromic in base 10.

13131133113131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13131133113089) and next prime (13131133113173).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13131133113131 - 2¹⁴ = 13131133096747 is a prime.

It is a super-2 number, since 2×13131133113131² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13131133113131.

It is not an unprimeable number, because it can be changed into a prime (13131133163131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352532876 + ... + 352570121.

It is an arithmetic number, because the mean of its divisors is an integer number (1791666717918).

Almost surely, 2^{13131133113131} is an apocalyptic number.

13131133113131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13131133113131 is a deficient number, since it is larger than the sum of its proper divisors (1202200630213).

13131133113131 is a wasteful number, since it uses less digits than its factorization.

13131133113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705104701.

The product of its digits is 729, while the sum is 26.

It can be divided in two parts, 1313113 and 3113131, that added together give a palindrome (4426244).

The spelling of 13131133113131 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred thirty-one".