131434031200 has 144 divisors (see below), whose sum is σ = 342858368160. Its totient is φ = 49026539520.

The previous prime is 131434031173. The next prime is 131434031207. The reversal of 131434031200 is 2130434131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131434031207) 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, 1438069 + ... + 1526731.

It is an arithmetic number, because the mean of its divisors is an integer number (2380960890).

Almost surely, 2^131434031200 is an apocalyptic number.

131434031200 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 131434031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171429184080).

131434031200 is an abundant number, since it is smaller than the sum of its proper divisors (211424336960).

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

131434031200 is a wasteful number, since it uses less digits than its factorization.

131434031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88809 (or 88796 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 131434031200 its reverse (2130434131), we get a palindrome (133564465331).

The spelling of 131434031200 in words is "one hundred thirty-one billion, four hundred thirty-four million, thirty-one thousand, two hundred".