131142104202320 has 40 divisors (see below), whose sum is σ = 304920689422824. Its totient is φ = 52454209912832.

The previous prime is 131142104202259. The next prime is 131142104202341. The reversal of 131142104202320 is 23202401241131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 907721129536 + 130234383072784 = 952744^2 + 11412028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×131142104202320² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131142104202320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39516449 + ... + 42706368.

Almost surely, 2^{131142104202320} is an apocalyptic number.

131142104202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142104202320 is an abundant number, since it is smaller than the sum of its proper divisors (173778585220504).

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

131142104202320 is a wasteful number, since it uses less digits than its factorization.

131142104202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82242767 (or 82242761 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131142104202320 its reverse (23202401241131), we get a palindrome (154344505443451).

The spelling of 131142104202320 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred four million, two hundred two thousand, three hundred twenty".