131421000032200 has 192 divisors, whose sum is σ = 322470569826000. Its totient is φ = 49741267107840.

The previous prime is 131421000032183. The next prime is 131421000032239. The reversal of 131421000032200 is 2230000124131.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 7008525559044 + 124412474473156 = 2647362^2 + 11154034^2 .

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, 57204082 + ... + 59457118.

Almost surely, 2^{131421000032200} is an apocalyptic number.

131421000032200 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 131421000032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161235284913000).

131421000032200 is an abundant number, since it is smaller than the sum of its proper divisors (191049569793800).

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

131421000032200 is a wasteful number, since it uses less digits than its factorization.

131421000032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253284 (or 2253275 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 131421000032200 its reverse (2230000124131), we get a palindrome (133651000156331).

The spelling of 131421000032200 in words is "one hundred thirty-one trillion, four hundred twenty-one billion, thirty-two thousand, two hundred".