131142343410720 has 1152 divisors, whose sum is σ = 468920140416000. Its totient is φ = 33353358114816.

The previous prime is 131142343410703. The next prime is 131142343410721. The reversal of 131142343410720 is 27014343241131.

131142343410720 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 234 + 3 + 410 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×131142343410720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131142343410721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125016532756 + ... + 125016533804.

It is an arithmetic number, because the mean of its divisors is an integer number (407048733000).

Almost surely, 2^{131142343410720} is an apocalyptic number.

131142343410720 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 131142343410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234460070208000).

131142343410720 is an abundant number, since it is smaller than the sum of its proper divisors (337777797005280).

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

131142343410720 is a wasteful number, since it uses less digits than its factorization.

131142343410720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 131142343410720 its reverse (27014343241131), we get a palindrome (158156686651851).

The spelling of 131142343410720 in words is "one hundred thirty-one trillion, one hundred forty-two billion, three hundred forty-three million, four hundred ten thousand, seven hundred twenty".