131412401130330 has 128 divisors (see below), whose sum is σ = 357165387532800. Its totient is φ = 34370521016832.

The previous prime is 131412401130323. The next prime is 131412401130377. The reversal of 131412401130330 is 33031104214131.

131412401130330 is a `hidden beast` number, since 1 + 314 + 1 + 2 + 4 + 0 + 1 + 13 + 0 + 330 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131412401130294 and 131412401130303.

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, 40939867 + ... + 44032913.

It is an arithmetic number, because the mean of its divisors is an integer number (2790354590100).

Almost surely, 2^{131412401130330} is an apocalyptic number.

131412401130330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131412401130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178582693766400).

131412401130330 is an abundant number, since it is smaller than the sum of its proper divisors (225752986402470).

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

131412401130330 is a wasteful number, since it uses less digits than its factorization.

131412401130330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096085 (or 3096079 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131412401130330 its reverse (33031104214131), we get a palindrome (164443505344461).

The spelling of 131412401130330 in words is "one hundred thirty-one trillion, four hundred twelve billion, four hundred one million, one hundred thirty thousand, three hundred thirty".