131030221200 has 120 divisors (see below), whose sum is σ = 420420555648. Its totient is φ = 34884195840.

The previous prime is 131030221163. The next prime is 131030221237. The reversal of 131030221200 is 2122030131.

It is an interprime number because it is at equal distance from previous prime (131030221163) and next prime (131030221237).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 131030221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646537 + ... + 824663.

Almost surely, 2^131030221200 is an apocalyptic number.

131030221200 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 131030221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210210277824).

131030221200 is an abundant number, since it is smaller than the sum of its proper divisors (289390334448).

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

131030221200 is a wasteful number, since it uses less digits than its factorization.

131030221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178761 (or 178750 counting only the distinct ones).

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

Adding to 131030221200 its reverse (2122030131), we get a palindrome (133152251331).

The spelling of 131030221200 in words is "one hundred thirty-one billion, thirty million, two hundred twenty-one thousand, two hundred".