131114341033100 has 36 divisors (see below), whose sum is σ = 291134820517464. Its totient is φ = 51226068122880.

The previous prime is 131114341033097. The next prime is 131114341033103. The reversal of 131114341033100 is 1330143411131.

It is an interprime number because it is at equal distance from previous prime (131114341033097) and next prime (131114341033103).

It is a super-2 number, since 2×131114341033100² (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 131114341033100.

It is not an unprimeable number, because it can be changed into a prime (131114341033103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15245849309 + ... + 15245857908.

Almost surely, 2^{131114341033100} is an apocalyptic number.

131114341033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131114341033100 is an abundant number, since it is smaller than the sum of its proper divisors (160020479484364).

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

131114341033100 is a wasteful number, since it uses less digits than its factorization.

131114341033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30491707274 (or 30491707267 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 131114341033100 its reverse (1330143411131), we get a palindrome (132444484444231).

The spelling of 131114341033100 in words is "one hundred thirty-one trillion, one hundred fourteen billion, three hundred forty-one million, thirty-three thousand, one hundred".