131430015200000 has 216 divisors, whose sum is σ = 357722535386160. Its totient is φ = 47792729600000.

The previous prime is 131430015199961. The next prime is 131430015200009. The reversal of 131430015200000 is 2510034131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131430015200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332386 + ... + 16267614.

It is an arithmetic number, because the mean of its divisors is an integer number (1656122849010).

Almost surely, 2^{131430015200000} is an apocalyptic number.

131430015200000 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 131430015200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178861267693080).

131430015200000 is an abundant number, since it is smaller than the sum of its proper divisors (226292520186160).

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

131430015200000 is an frugal number, since it uses more digits than its factorization.

131430015200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14935281 (or 14935247 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 131430015200000 its reverse (2510034131), we get a palindrome (131432525234131).

The spelling of 131430015200000 in words is "one hundred thirty-one trillion, four hundred thirty billion, fifteen million, two hundred thousand".