131214102412240 has 160 divisors (see below), whose sum is σ = 315403694871552. Its totient is φ = 50713603584000.

The previous prime is 131214102412049. The next prime is 131214102412241. The reversal of 131214102412240 is 42214201412131.

It is a junction number, because it is equal to n+sod(n) for n = 131214102412199 and 131214102412208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131214102412241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5060112075 + ... + 5060138005.

Almost surely, 2^{131214102412240} is an apocalyptic number.

131214102412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131214102412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157701847435776).

131214102412240 is an abundant number, since it is smaller than the sum of its proper divisors (184189592459312).

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

131214102412240 is a wasteful number, since it uses less digits than its factorization.

131214102412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29069 (or 29063 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 131214102412240 its reverse (42214201412131), we get a palindrome (173428303824371).

The spelling of 131214102412240 in words is "one hundred thirty-one trillion, two hundred fourteen billion, one hundred two million, four hundred twelve thousand, two hundred forty".