131198431112112 has 240 divisors, whose sum is σ = 446939712360960. Its totient is φ = 32780637356544.

The previous prime is 131198431112071. The next prime is 131198431112237. The reversal of 131198431112112 is 211211134891131.

It is a super-2 number, since 2×131198431112112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112337368 + ... + 113499255.

It is an arithmetic number, because the mean of its divisors is an integer number (1862248801504).

Almost surely, 2^{131198431112112} is an apocalyptic number.

131198431112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131198431112112 is an abundant number, since it is smaller than the sum of its proper divisors (315741281248848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131198431112112 is a wasteful number, since it uses less digits than its factorization.

131198431112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225836680 (or 225836667 counting only the distinct ones).

The product of its digits is 10368, while the sum is 39.

The spelling of 131198431112112 in words is "one hundred thirty-one trillion, one hundred ninety-eight billion, four hundred thirty-one million, one hundred twelve thousand, one hundred twelve".