34331232011121 has 8 divisors (see below), whose sum is σ = 50861084460960. Its totient is φ = 22887488007396.

The previous prime is 34331232011039. The next prime is 34331232011149. The reversal of 34331232011121 is 12111023213343.

34331232011121 is a `hidden beast` number, since 3 + 4 + 3 + 312 + 320 + 1 + 1 + 1 + 21 = 666.

It is not a de Polignac number, because 34331232011121 - 2¹¹ = 34331232009073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1271527111523 = 34331232011121 / (3 + 4 + 3 + 3 + 1 + 2 + 3 + 2 + 0 + 1 + 1 + 1 + 2 + 1).

It is not an unprimeable number, because it can be changed into a prime (34331232011161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635763555735 + ... + 635763555788.

It is an arithmetic number, because the mean of its divisors is an integer number (6357635557620).

Almost surely, 2^{34331232011121} is an apocalyptic number.

It is an amenable number.

34331232011121 is a deficient number, since it is larger than the sum of its proper divisors (16529852449839).

34331232011121 is a wasteful number, since it uses less digits than its factorization.

34331232011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271527111532 (or 1271527111526 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 34331232011121 its reverse (12111023213343), we get a palindrome (46442255224464).

The spelling of 34331232011121 in words is "thirty-four trillion, three hundred thirty-one billion, two hundred thirty-two million, eleven thousand, one hundred twenty-one".