131112133011431 has 32 divisors (see below), whose sum is σ = 163229072832000. Its totient is φ = 103533868414080.

The previous prime is 131112133011347. The next prime is 131112133011443. The reversal of 131112133011431 is 134110331211131.

It is not a de Polignac number, because 131112133011431 - 2⁴⁶ = 60743388833767 is a prime.

It is a super-2 number, since 2×131112133011431² (a number of 29 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 131112133011431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112133011031) 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, 161528771 + ... + 162338436.

It is an arithmetic number, because the mean of its divisors is an integer number (5100908526000).

Almost surely, 2^{131112133011431} is an apocalyptic number.

131112133011431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131112133011431 is a deficient number, since it is larger than the sum of its proper divisors (32116939820569).

131112133011431 is a wasteful number, since it uses less digits than its factorization.

131112133011431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323867399.

The product of its (nonzero) digits is 648, while the sum is 26.

Adding to 131112133011431 its reverse (134110331211131), we get a palindrome (265222464222562).

The spelling of 131112133011431 in words is "one hundred thirty-one trillion, one hundred twelve billion, one hundred thirty-three million, eleven thousand, four hundred thirty-one".