131230211101440 has 288 divisors, whose sum is σ = 457236140288256. Its totient is φ = 31812121313280.

The previous prime is 131230211101433. The next prime is 131230211101447. The reversal of 131230211101440 is 44101112032131.

It is an interprime number because it is at equal distance from previous prime (131230211101433) and next prime (131230211101447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131230211101440.

It is not an unprimeable number, because it can be changed into a prime (131230211101447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1489634034 + ... + 1489722126.

It is an arithmetic number, because the mean of its divisors is an integer number (1587625487112).

Almost surely, 2^{131230211101440} is an apocalyptic number.

131230211101440 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 131230211101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228618070144128).

131230211101440 is an abundant number, since it is smaller than the sum of its proper divisors (326005929186816).

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

131230211101440 is a wasteful number, since it uses less digits than its factorization.

131230211101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123395 (or 123381 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131230211101440 its reverse (44101112032131), we get a palindrome (175331323133571).

The spelling of 131230211101440 in words is "one hundred thirty-one trillion, two hundred thirty billion, two hundred eleven million, one hundred one thousand, four hundred forty".