131414241120 has 48 divisors (see below), whose sum is σ = 413954861040. Its totient is φ = 35043797504.

The previous prime is 131414241107. The next prime is 131414241181. The reversal of 131414241120 is 21142414131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 136889355 + ... + 136890314.

It is an arithmetic number, because the mean of its divisors is an integer number (8624059605).

Almost surely, 2^131414241120 is an apocalyptic number.

131414241120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414241120 is an abundant number, since it is smaller than the sum of its proper divisors (282540619920).

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

131414241120 is a wasteful number, since it uses less digits than its factorization.

131414241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273779687 (or 273779679 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 131414241120 its reverse (21142414131), we get a palindrome (152556655251).

The spelling of 131414241120 in words is "one hundred thirty-one billion, four hundred fourteen million, two hundred forty-one thousand, one hundred twenty".