1205530033131 has 24 divisors (see below), whose sum is σ = 1778509624320. Its totient is φ = 786525456816.

The previous prime is 1205530033079. The next prime is 1205530033133. The reversal of 1205530033131 is 1313300355021.

1205530033131 is a `hidden beast` number, since 1 + 20 + 5 + 5 + 300 + 331 + 3 + 1 = 666.

It is not a de Polignac number, because 1205530033131 - 2²² = 1205525838827 is a prime.

It is a super-2 number, since 2×1205530033131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1205530033095 and 1205530033104.

It is not an unprimeable number, because it can be changed into a prime (1205530033133) 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 23 ways as a sum of consecutive naturals, for example, 5656206 + ... + 5865468.

It is an arithmetic number, because the mean of its divisors is an integer number (74104567680).

Almost surely, 2^{1205530033131} is an apocalyptic number.

1205530033131 is a deficient number, since it is larger than the sum of its proper divisors (572979591189).

1205530033131 is a wasteful number, since it uses less digits than its factorization.

1205530033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222935 (or 222932 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 1205530033131 its reverse (1313300355021), we get a palindrome (2518830388152).

The spelling of 1205530033131 in words is "one trillion, two hundred five billion, five hundred thirty million, thirty-three thousand, one hundred thirty-one".