131142104133040 has 320 divisors, whose sum is σ = 427182750554112. Its totient is φ = 36090707558400.

The previous prime is 131142104133031. The next prime is 131142104133043. The reversal of 131142104133040 is 40331401241131.

It is a super-2 number, since 2×131142104133040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (131142104133043) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 33759001 + ... + 37442680.

Almost surely, 2^{131142104133040} is an apocalyptic number.

131142104133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142104133040 is an abundant number, since it is smaller than the sum of its proper divisors (296040646421072).

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

131142104133040 is a wasteful number, since it uses less digits than its factorization.

131142104133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71201748 (or 71201742 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131142104133040 its reverse (40331401241131), we get a palindrome (171473505374171).

The spelling of 131142104133040 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred four million, one hundred thirty-three thousand, forty".