33123120332130 has 24 divisors (see below), whose sum is σ = 86120112863772. Its totient is φ = 8832832088544.

The previous prime is 33123120332101. The next prime is 33123120332161. The reversal of 33123120332130 is 3123302132133.

33123120332130 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 312 + 0 + 332 + 13 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28754765348409 + 4368354983721 = 5362347^2 + 2090061^2 .

It is a super-2 number, since 2×33123120332130² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33123120332094 and 33123120332103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184017335089 + ... + 184017335268.

Almost surely, 2^{33123120332130} is an apocalyptic number.

33123120332130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33123120332130 is an abundant number, since it is smaller than the sum of its proper divisors (52996992531642).

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

33123120332130 is a wasteful number, since it uses less digits than its factorization.

33123120332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368034670370 (or 368034670367 counting only the distinct ones).

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

Adding to 33123120332130 its reverse (3123302132133), we get a palindrome (36246422464263).

The spelling of 33123120332130 in words is "thirty-three trillion, one hundred twenty-three billion, one hundred twenty million, three hundred thirty-two thousand, one hundred thirty".