131135134033200 has 480 divisors, whose sum is σ = 462149172559872. Its totient is φ = 31521513600000.

The previous prime is 131135134033193. The next prime is 131135134033201. The reversal of 131135134033200 is 2330431531131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131135134033201) 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, 738754857 + ... + 738932343.

Almost surely, 2^{131135134033200} is an apocalyptic number.

131135134033200 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 131135134033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231074586279936).

131135134033200 is an abundant number, since it is smaller than the sum of its proper divisors (331014038526672).

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

131135134033200 is a wasteful number, since it uses less digits than its factorization.

131135134033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177993 (or 177982 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 131135134033200 its reverse (2330431531131), we get a palindrome (133465565564331).

The spelling of 131135134033200 in words is "one hundred thirty-one trillion, one hundred thirty-five billion, one hundred thirty-four million, thirty-three thousand, two hundred".