131011220021200 has 120 divisors (see below), whose sum is σ = 319463163004320. Its totient is φ = 51620573452800.

The previous prime is 131011220021191. The next prime is 131011220021207. The reversal of 131011220021200 is 2120022110131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011220021207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020184995 + ... + 1020313405.

It is an arithmetic number, because the mean of its divisors is an integer number (2662193025036).

Almost surely, 2^{131011220021200} is an apocalyptic number.

131011220021200 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 131011220021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159731581502160).

131011220021200 is an abundant number, since it is smaller than the sum of its proper divisors (188451942983120).

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

131011220021200 is a wasteful number, since it uses less digits than its factorization.

131011220021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166565 (or 166554 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 131011220021200 its reverse (2120022110131), we get a palindrome (133131242131331).

The spelling of 131011220021200 in words is "one hundred thirty-one trillion, eleven billion, two hundred twenty million, twenty-one thousand, two hundred".