131202013200000 has 384 divisors, whose sum is σ = 435728160362880. Its totient is φ = 34977216000000.

The previous prime is 131202013199947. The next prime is 131202013200017. The reversal of 131202013200000 is 2310202131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4825186405 + ... + 4825213595.

It is an arithmetic number, because the mean of its divisors is an integer number (1134708750945).

Almost surely, 2^{131202013200000} is an apocalyptic number.

131202013200000 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 131202013200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217864080181440).

131202013200000 is an abundant number, since it is smaller than the sum of its proper divisors (304526147162880).

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

131202013200000 is an frugal number, since it uses more digits than its factorization.

131202013200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31254 (or 31222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131202013200000 its reverse (2310202131), we get a palindrome (131204323402131).

The spelling of 131202013200000 in words is "one hundred thirty-one trillion, two hundred two billion, thirteen million, two hundred thousand".