131333011200 has 270 divisors, whose sum is σ = 485599898784. Its totient is φ = 35021998080.

The previous prime is 131333011177. The next prime is 131333011217. The reversal of 131333011200 is 2110333131.

It is a happy number.

131333011200 is a `hidden beast` number, since 1 + 313 + 330 + 1 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 391729 + ... + 645071.

Almost surely, 2^131333011200 is an apocalyptic number.

131333011200 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 131333011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242799949392).

131333011200 is an abundant number, since it is smaller than the sum of its proper divisors (354266887584).

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

131333011200 is an equidigital number, since it uses as much as digits as its factorization.

131333011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253381 (or 253353 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131333011200 its reverse (2110333131), we get a palindrome (133443344331).

The spelling of 131333011200 in words is "one hundred thirty-one billion, three hundred thirty-three million, eleven thousand, two hundred".