131201421024114 has 128 divisors (see below), whose sum is σ = 345163908096000. Its totient is φ = 36144780565824.

The previous prime is 131201421024097. The next prime is 131201421024131. The reversal of 131201421024114 is 411420124102131.

131201421024114 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 142 + 102 + 411 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (131201421024097) and next prime (131201421024131).

It is a super-3 number, since 3×131201421024114³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90427 + ... + 16199105.

It is an arithmetic number, because the mean of its divisors is an integer number (2696593032000).

Almost surely, 2^{131201421024114} is an apocalyptic number.

131201421024114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131201421024114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172581954048000).

131201421024114 is an abundant number, since it is smaller than the sum of its proper divisors (213962487071886).

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

131201421024114 is a wasteful number, since it uses less digits than its factorization.

131201421024114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16109469 (or 16109463 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 131201421024114 its reverse (411420124102131), we get a palindrome (542621545126245).

The spelling of 131201421024114 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred twenty-one million, twenty-four thousand, one hundred fourteen".