131202201600 has 576 divisors, whose sum is σ = 486981331200. Its totient is φ = 34621194240.

The previous prime is 131202201593. The next prime is 131202201623. The reversal of 131202201600 is 6102202131.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147916357 + ... + 147917243.

It is an arithmetic number, because the mean of its divisors is an integer number (845453700).

Almost surely, 2^131202201600 is an apocalyptic number.

131202201600 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 131202201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243490665600).

131202201600 is an abundant number, since it is smaller than the sum of its proper divisors (355779129600).

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

131202201600 is a wasteful number, since it uses less digits than its factorization.

131202201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131202201600 its reverse (6102202131), we get a palindrome (137304403731).

The spelling of 131202201600 in words is "one hundred thirty-one billion, two hundred two million, two hundred one thousand, six hundred".