34034040004131 has 16 divisors (see below), whose sum is σ = 50426942471200. Its totient is φ = 22686595893504.

The previous prime is 34034040004061. The next prime is 34034040004193. The reversal of 34034040004131 is 13140004043043.

It is not a de Polignac number, because 34034040004131 - 2⁹ = 34034040003619 is a prime.

It is a super-2 number, since 2×34034040004131² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34034040004095 and 34034040004104.

It is not an unprimeable number, because it can be changed into a prime (34034040004031) 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, 76555066 + ... + 76998351.

It is an arithmetic number, because the mean of its divisors is an integer number (3151683904450).

Almost surely, 2^{34034040004131} is an apocalyptic number.

34034040004131 is a deficient number, since it is larger than the sum of its proper divisors (16392902467069).

34034040004131 is a wasteful number, since it uses less digits than its factorization.

34034040004131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153561635 (or 153561629 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34034040004131 its reverse (13140004043043), we get a palindrome (47174044047174).

The spelling of 34034040004131 in words is "thirty-four trillion, thirty-four billion, forty million, four thousand, one hundred thirty-one".