131020142310200 has 384 divisors, whose sum is σ = 361805491091520. Its totient is φ = 43496674099200.

The previous prime is 131020142310163. The next prime is 131020142310227. The reversal of 131020142310200 is 2013241020131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4430382614 + ... + 4430412186.

Almost surely, 2^{131020142310200} is an apocalyptic number.

131020142310200 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 131020142310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180902745545760).

131020142310200 is an abundant number, since it is smaller than the sum of its proper divisors (230785348781320).

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

131020142310200 is a wasteful number, since it uses less digits than its factorization.

131020142310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31307 (or 31298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131020142310200 its reverse (2013241020131), we get a palindrome (133033383330331).

The spelling of 131020142310200 in words is "one hundred thirty-one trillion, twenty billion, one hundred forty-two million, three hundred ten thousand, two hundred".