131020111200 has 288 divisors, whose sum is σ = 480251261952. Its totient is φ = 30737664000.

The previous prime is 131020111181. The next prime is 131020111207. The reversal of 131020111200 is 2111020131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020111207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738354 + ... + 898446.

It is an arithmetic number, because the mean of its divisors is an integer number (1667539104).

Almost surely, 2^131020111200 is an apocalyptic number.

131020111200 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 131020111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240125630976).

131020111200 is an abundant number, since it is smaller than the sum of its proper divisors (349231150752).

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

131020111200 is a wasteful number, since it uses less digits than its factorization.

131020111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160158 (or 160145 counting only the distinct ones).

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

Adding to 131020111200 its reverse (2111020131), we get a palindrome (133131131331).

The spelling of 131020111200 in words is "one hundred thirty-one billion, twenty million, one hundred eleven thousand, two hundred".