131301222312000 has 896 divisors, whose sum is σ = 498818256168960. Its totient is φ = 30162137702400.

The previous prime is 131301222311989. The next prime is 131301222312011. The reversal of 131301222312000 is 213222103131.

It is an interprime number because it is at equal distance from previous prime (131301222311989) and next prime (131301222312011).

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, 397010707 + ... + 397341293.

It is an arithmetic number, because the mean of its divisors is an integer number (556716803760).

Almost surely, 2^{131301222312000} is an apocalyptic number.

131301222312000 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 131301222312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249409128084480).

131301222312000 is an abundant number, since it is smaller than the sum of its proper divisors (367517033856960).

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

131301222312000 is a wasteful number, since it uses less digits than its factorization.

131301222312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330716 (or 330696 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131301222312000 its reverse (213222103131), we get a palindrome (131514444415131).

The spelling of 131301222312000 in words is "one hundred thirty-one trillion, three hundred one billion, two hundred twenty-two million, three hundred twelve thousand".