34441313121 has 24 divisors (see below), whose sum is σ = 49883680704. Its totient is φ = 22898604960.

The previous prime is 34441313119. The next prime is 34441313147. The reversal of 34441313121 is 12131314443.

34441313121 is a `hidden beast` number, since 344 + 4 + 1 + 3 + 1 + 312 + 1 = 666.

It is not a de Polignac number, because 34441313121 - 2¹ = 34441313119 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34441313161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5749690 + ... + 5755676.

It is an arithmetic number, because the mean of its divisors is an integer number (2078486696).

Almost surely, 2^34441313121 is an apocalyptic number.

It is an amenable number.

34441313121 is a deficient number, since it is larger than the sum of its proper divisors (15442367583).

34441313121 is a wasteful number, since it uses less digits than its factorization.

34441313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7621 (or 7618 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 34441313121 its reverse (12131314443), we get a palindrome (46572627564).

The spelling of 34441313121 in words is "thirty-four billion, four hundred forty-one million, three hundred thirteen thousand, one hundred twenty-one".