131198431112111 has 16 divisors (see below), whose sum is σ = 143165041262496. Its totient is φ = 119238403200000.

The previous prime is 131198431112071. The next prime is 131198431112237. The reversal of 131198431112111 is 111211134891131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131198431112111 - 2¹⁴ = 131198431095727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131198431112611) 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, 2189493431 + ... + 2189553351.

It is an arithmetic number, because the mean of its divisors is an integer number (8947815078906).

Almost surely, 2^{131198431112111} is an apocalyptic number.

131198431112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131198431112111 is a deficient number, since it is larger than the sum of its proper divisors (11966610150385).

131198431112111 is a wasteful number, since it uses less digits than its factorization.

131198431112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111514.

The product of its digits is 5184, while the sum is 38.

The spelling of 131198431112111 in words is "one hundred thirty-one trillion, one hundred ninety-eight billion, four hundred thirty-one million, one hundred twelve thousand, one hundred eleven".