34012414033131 has 16 divisors (see below), whose sum is σ = 48018380663808. Its totient is φ = 21340742544000.

The previous prime is 34012414033127. The next prime is 34012414033183. The reversal of 34012414033131 is 13133041421043.

It is not a de Polignac number, because 34012414033131 - 2² = 34012414033127 is a prime.

It is a super-2 number, since 2×34012414033131² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34012414033111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3031095 + ... + 8787056.

It is an arithmetic number, because the mean of its divisors is an integer number (3001148791488).

Almost surely, 2^{34012414033131} is an apocalyptic number.

34012414033131 is a deficient number, since it is larger than the sum of its proper divisors (14005966630677).

34012414033131 is a wasteful number, since it uses less digits than its factorization.

34012414033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874602.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 34012414033131 its reverse (13133041421043), we get a palindrome (47145455454174).

The spelling of 34012414033131 in words is "thirty-four trillion, twelve billion, four hundred fourteen million, thirty-three thousand, one hundred thirty-one".