131220003004314 has 192 divisors, whose sum is σ = 314729258804352. Its totient is φ = 36343680307200.

The previous prime is 131220003004243. The next prime is 131220003004361. The reversal of 131220003004314 is 413400300022131.

It is a happy number.

It is a super-3 number, since 3×131220003004314³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14808708244 + ... + 14808717104.

It is an arithmetic number, because the mean of its divisors is an integer number (1639214889606).

Almost surely, 2^{131220003004314} is an apocalyptic number.

131220003004314 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 131220003004314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157364629402176).

131220003004314 is an abundant number, since it is smaller than the sum of its proper divisors (183509255800038).

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

131220003004314 is a wasteful number, since it uses less digits than its factorization.

131220003004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16621 (or 16614 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131220003004314 its reverse (413400300022131), we get a palindrome (544620303026445).

The spelling of 131220003004314 in words is "one hundred thirty-one trillion, two hundred twenty billion, three million, four thousand, three hundred fourteen".