131112414433 has 48 divisors (see below), whose sum is σ = 181147276800. Its totient is φ = 92299743360.

The previous prime is 131112414409. The next prime is 131112414469. The reversal of 131112414433 is 334414211131.

It is not a de Polignac number, because 131112414433 - 2⁹ = 131112413921 is a prime.

It is a super-2 number, since 2×131112414433² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131112414403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390843 + ... + 644191.

It is an arithmetic number, because the mean of its divisors is an integer number (3773901600).

Almost surely, 2^131112414433 is an apocalyptic number.

131112414433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131112414433 is a deficient number, since it is larger than the sum of its proper divisors (50034862367).

131112414433 is a wasteful number, since it uses less digits than its factorization.

131112414433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253438 (or 253427 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

Adding to 131112414433 its reverse (334414211131), we get a palindrome (465526625564).

It can be divided in two parts, 131112 and 414433, that added together give a palindrome (545545).

The spelling of 131112414433 in words is "one hundred thirty-one billion, one hundred twelve million, four hundred fourteen thousand, four hundred thirty-three".