13131113132333 has 32 divisors (see below), whose sum is σ = 15926283141120. Its totient is φ = 10568818149120.

The previous prime is 13131113132303. The next prime is 13131113132381. The reversal of 13131113132333 is 33323131113131.

It is not a de Polignac number, because 13131113132333 - 2¹⁸ = 13131112870189 is a prime.

It is a super-2 number, since 2×13131113132333² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13131113132296 and 13131113132305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131113132303) 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, 581757938 + ... + 581780508.

It is an arithmetic number, because the mean of its divisors is an integer number (497696348160).

Almost surely, 2^{13131113132333} is an apocalyptic number.

It is an amenable number.

13131113132333 is a deficient number, since it is larger than the sum of its proper divisors (2795170008787).

13131113132333 is a wasteful number, since it uses less digits than its factorization.

13131113132333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33617.

The product of its digits is 4374, while the sum is 29.

Adding to 13131113132333 its reverse (33323131113131), we get a palindrome (46454244245464).

It can be divided in two parts, 1313111 and 3132333, that added together give a palindrome (4445444).

The spelling of 13131113132333 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred thirty-three".