131020200000 has 672 divisors, whose sum is σ = 507173788800. Its totient is φ = 33073920000.

The previous prime is 131020199993. The next prime is 131020200007. The reversal of 131020200000 is 2020131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131020199993) and next prime (131020200007).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (131020200007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102599362 + ... + 102600638.

It is an arithmetic number, because the mean of its divisors is an integer number (754722900).

Almost surely, 2^131020200000 is an apocalyptic number.

131020200000 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 131020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253586894400).

131020200000 is an abundant number, since it is smaller than the sum of its proper divisors (376153588800).

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

131020200000 is an equidigital number, since it uses as much as digits as its factorization.

131020200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 131020200000 its reverse (2020131), we get a palindrome (131022220131).

The spelling of 131020200000 in words is "one hundred thirty-one billion, twenty million, two hundred thousand".