131021434340202 has 128 divisors (see below), whose sum is σ = 310825104703488. Its totient is φ = 36029516140800.

The previous prime is 131021434340201. The next prime is 131021434340207. The reversal of 131021434340202 is 202043434120131.

131021434340202 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131021434340202.

It is not an unprimeable number, because it can be changed into a prime (131021434340201) 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, 1176956248 + ... + 1177067564.

It is an arithmetic number, because the mean of its divisors is an integer number (2428321130496).

Almost surely, 2^{131021434340202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131021434340202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155412552351744).

131021434340202 is an abundant number, since it is smaller than the sum of its proper divisors (179803670363286).

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

131021434340202 is a wasteful number, since it uses less digits than its factorization.

131021434340202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116284.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131021434340202 its reverse (202043434120131), we get a palindrome (333064868460333).

The spelling of 131021434340202 in words is "one hundred thirty-one trillion, twenty-one billion, four hundred thirty-four million, three hundred forty thousand, two hundred two".