131101341020352 has 112 divisors (see below), whose sum is σ = 385425292140000. Its totient is φ = 43699128606720.

The previous prime is 131101341020347. The next prime is 131101341020357. The reversal of 131101341020352 is 253020143101131.

131101341020352 is a `hidden beast` number, since 1 + 3 + 110 + 1 + 341 + 0 + 203 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (131101341020347) and next prime (131101341020357).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131101341020357) 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 15 ways as a sum of consecutive naturals, for example, 57004024 + ... + 59259272.

It is an arithmetic number, because the mean of its divisors is an integer number (3441297251250).

Almost surely, 2^{131101341020352} is an apocalyptic number.

131101341020352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131101341020352 is an abundant number, since it is smaller than the sum of its proper divisors (254323951119648).

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

131101341020352 is a wasteful number, since it uses less digits than its factorization.

131101341020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288911 (or 2288895 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 131101341020352 its reverse (253020143101131), we get a palindrome (384121484121483).

The spelling of 131101341020352 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred forty-one million, twenty thousand, three hundred fifty-two".