131304200352240 has 640 divisors, whose sum is σ = 434669679360000. Its totient is φ = 32695605116928.

The previous prime is 131304200352191. The next prime is 131304200352331. The reversal of 131304200352240 is 42253002403131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131304200352198 and 131304200352207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84767074986 + ... + 84767076534.

It is an arithmetic number, because the mean of its divisors is an integer number (679171374000).

Almost surely, 2^{131304200352240} is an apocalyptic number.

131304200352240 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 131304200352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217334839680000).

131304200352240 is an abundant number, since it is smaller than the sum of its proper divisors (303365479007760).

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

131304200352240 is a wasteful number, since it uses less digits than its factorization.

131304200352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 131304200352240 its reverse (42253002403131), we get a palindrome (173557202755371).

The spelling of 131304200352240 in words is "one hundred thirty-one trillion, three hundred four billion, two hundred million, three hundred fifty-two thousand, two hundred forty".