34004441013131 has 8 divisors (see below), whose sum is σ = 34127226545040. Its totient is φ = 33881804948992.

The previous prime is 34004441013061. The next prime is 34004441013143. The reversal of 34004441013131 is 13131014440043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34004441013131 - 2¹⁰ = 34004441012107 is a prime.

It is a super-2 number, since 2×34004441013131² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34004441013094 and 34004441013103.

It is not an unprimeable number, because it can be changed into a prime (34004441010131) 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, 36911105 + ... + 37821138.

It is an arithmetic number, because the mean of its divisors is an integer number (4265903318130).

Almost surely, 2^{34004441013131} is an apocalyptic number.

34004441013131 is a deficient number, since it is larger than the sum of its proper divisors (122785531909).

34004441013131 is a wasteful number, since it uses less digits than its factorization.

34004441013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74733885.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 34004441013131 its reverse (13131014440043), we get a palindrome (47135455453174).

The spelling of 34004441013131 in words is "thirty-four trillion, four billion, four hundred forty-one million, thirteen thousand, one hundred thirty-one".