131102112301193 has 16 divisors (see below), whose sum is σ = 150548632016640. Its totient is φ = 112910346219600.

The previous prime is 131102112301151. The next prime is 131102112301247. The reversal of 131102112301193 is 391103211201131.

It is a cyclic number.

It is not a de Polignac number, because 131102112301193 - 2²² = 131102108106889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131102112301123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43473398 + ... + 46391168.

It is an arithmetic number, because the mean of its divisors is an integer number (9409289501040).

Almost surely, 2^{131102112301193} is an apocalyptic number.

It is an amenable number.

131102112301193 is a deficient number, since it is larger than the sum of its proper divisors (19446519715447).

131102112301193 is a wasteful number, since it uses less digits than its factorization.

131102112301193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132788.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 131102112301193 in words is "one hundred thirty-one trillion, one hundred two billion, one hundred twelve million, three hundred one thousand, one hundred ninety-three".