131434031300 has 144 divisors (see below), whose sum is σ = 349643371392. Its totient is φ = 42199449600.

The previous prime is 131434031293. The next prime is 131434031389. The reversal of 131434031300 is 3130434131.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129092 + ... + 528708.

It is an arithmetic number, because the mean of its divisors is an integer number (2428078968).

Almost surely, 2^131434031300 is an apocalyptic number.

131434031300 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 131434031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174821685696).

131434031300 is an abundant number, since it is smaller than the sum of its proper divisors (218209340092).

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

131434031300 is a wasteful number, since it uses less digits than its factorization.

131434031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399678 (or 399671 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 131434031300 its reverse (3130434131), we get a palindrome (134564465431).

The spelling of 131434031300 in words is "one hundred thirty-one billion, four hundred thirty-four million, thirty-one thousand, three hundred".