13131112334131 has 16 divisors (see below), whose sum is σ = 14819469696000. Its totient is φ = 11525228260000.

The previous prime is 13131112334111. The next prime is 13131112334159. The reversal of 13131112334131 is 13143321113131.

13131112334131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13131112334131 - 2¹¹ = 13131112332083 is a prime.

It is a super-2 number, since 2×13131112334131² (a number of 27 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 13131112334131.

It is not an unprimeable number, because it can be changed into a prime (13131112334111) 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, 6352920 + ... + 8162218.

It is an arithmetic number, because the mean of its divisors is an integer number (926216856000).

Almost surely, 2^{13131112334131} is an apocalyptic number.

13131112334131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13131112334131 is a deficient number, since it is larger than the sum of its proper divisors (1688357361869).

13131112334131 is a wasteful number, since it uses less digits than its factorization.

13131112334131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832090.

The product of its digits is 1944, while the sum is 28.

Adding to 13131112334131 its reverse (13143321113131), we get a palindrome (26274433447262).

The spelling of 13131112334131 in words is "thirteen trillion, one hundred thirty-one billion, one hundred twelve million, three hundred thirty-four thousand, one hundred thirty-one".