131135123334033 has 128 divisors (see below), whose sum is σ = 247328805248000. Its totient is φ = 68222633730048.

The previous prime is 131135123334023. The next prime is 131135123334101. The reversal of 131135123334033 is 330433321531131.

131135123334033 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 51 + 233 + 340 + 33 = 666.

It is not a de Polignac number, because 131135123334033 - 2¹⁶ = 131135123268497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131135123334023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1328241 + ... + 16249137.

It is an arithmetic number, because the mean of its divisors is an integer number (1932256291000).

Almost surely, 2^{131135123334033} is an apocalyptic number.

131135123334033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131135123334033 is a deficient number, since it is larger than the sum of its proper divisors (116193681913967).

131135123334033 is a wasteful number, since it uses less digits than its factorization.

131135123334033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14921013 (or 14920993 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

Adding to 131135123334033 its reverse (330433321531131), we get a palindrome (461568444865164).

It can be divided in two parts, 131135123 and 334033, that added together give a square (131469156 = 11466²).

The spelling of 131135123334033 in words is "one hundred thirty-one trillion, one hundred thirty-five billion, one hundred twenty-three million, three hundred thirty-four thousand, thirty-three".