30123231312033 has 20 divisors (see below), whose sum is σ = 45152480998548. Its totient is φ = 20013614416800.

The previous prime is 30123231312029. The next prime is 30123231312079. The reversal of 30123231312033 is 33021313232103.

30123231312033 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 323 + 131 + 203 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28472810624064 + 1650420687969 = 5335992^2 + 1284687^2 .

It is not a de Polignac number, because 30123231312033 - 2² = 30123231312029 is a prime.

It is a super-2 number, since 2×30123231312033² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30123231311988 and 30123231312006.

It is not an unprimeable number, because it can be changed into a prime (30123231312133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 634603818 + ... + 634651283.

Almost surely, 2^{30123231312033} is an apocalyptic number.

It is an amenable number.

30123231312033 is a deficient number, since it is larger than the sum of its proper divisors (15029249686515).

30123231312033 is a wasteful number, since it uses less digits than its factorization.

30123231312033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269255406 (or 1269255397 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 30123231312033 its reverse (33021313232103), we get a palindrome (63144544544136).

The spelling of 30123231312033 in words is "thirty trillion, one hundred twenty-three billion, two hundred thirty-one million, three hundred twelve thousand, thirty-three".