34001441300233 has 16 divisors (see below), whose sum is σ = 37704868555392. Its totient is φ = 30400194528000.

The previous prime is 34001441300209. The next prime is 34001441300257. The reversal of 34001441300233 is 33200314410043.

It is an interprime number because it is at equal distance from previous prime (34001441300209) and next prime (34001441300257).

It is a de Polignac number, because none of the positive numbers 2^k-34001441300233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34001441300263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2978668 + ... + 8767858.

It is an arithmetic number, because the mean of its divisors is an integer number (2356554284712).

Almost surely, 2^{34001441300233} is an apocalyptic number.

It is an amenable number.

34001441300233 is a deficient number, since it is larger than the sum of its proper divisors (3703427255159).

34001441300233 is a wasteful number, since it uses less digits than its factorization.

34001441300233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798016.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 34001441300233 its reverse (33200314410043), we get a palindrome (67201755710276).

The spelling of 34001441300233 in words is "thirty-four trillion, one billion, four hundred forty-one million, three hundred thousand, two hundred thirty-three".