131342424410010 has 128 divisors (see below), whose sum is σ = 345502512875520. Its totient is φ = 31690424211200.

The previous prime is 131342424409991. The next prime is 131342424410017. The reversal of 131342424410010 is 10014424243131.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131342424410010.

It is not an unprimeable number, because it can be changed into a prime (131342424410017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93994336 + ... + 95381444.

It is an arithmetic number, because the mean of its divisors is an integer number (2699238381840).

Almost surely, 2^{131342424410010} is an apocalyptic number.

131342424410010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131342424410010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172751256437760).

131342424410010 is an abundant number, since it is smaller than the sum of its proper divisors (214160088465510).

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

131342424410010 is a wasteful number, since it uses less digits than its factorization.

131342424410010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388484.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 131342424410010 its reverse (10014424243131), we get a palindrome (141356848653141).

The spelling of 131342424410010 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred twenty-four million, four hundred ten thousand, ten".