131100132033 has 48 divisors (see below), whose sum is σ = 204941632896. Its totient is φ = 80278848000.

The previous prime is 131100132019. The next prime is 131100132071. The reversal of 131100132033 is 330231001131.

It is a happy number.

131100132033 is a `hidden beast` number, since 1 + 311 + 0 + 0 + 1 + 320 + 33 = 666.

It is not a de Polignac number, because 131100132033 - 2⁶ = 131100131969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131100131997 and 131100132015.

It is not an unprimeable number, because it can be changed into a prime (131100137033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54239641 + ... + 54242057.

It is an arithmetic number, because the mean of its divisors is an integer number (4269617352).

Almost surely, 2^131100132033 is an apocalyptic number.

131100132033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131100132033 is a deficient number, since it is larger than the sum of its proper divisors (73841500863).

131100132033 is a wasteful number, since it uses less digits than its factorization.

131100132033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131100132033 its reverse (330231001131), we get a palindrome (461331133164).

The spelling of 131100132033 in words is "one hundred thirty-one billion, one hundred million, one hundred thirty-two thousand, thirty-three".