34130131001 has 16 divisors (see below), whose sum is σ = 36449379600. Its totient is φ = 31896281088.

The previous prime is 34130130967. The next prime is 34130131033. The reversal of 34130131001 is 10013103143.

It can be written as a sum of positive squares in 8 ways, for example, as 5880589225 + 28249541776 = 76685^2 + 168076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34130131001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34130131051) 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, 124685 + ... + 289493.

It is an arithmetic number, because the mean of its divisors is an integer number (2278086225).

Almost surely, 2^34130131001 is an apocalyptic number.

It is an amenable number.

34130131001 is a deficient number, since it is larger than the sum of its proper divisors (2319248599).

34130131001 is a wasteful number, since it uses less digits than its factorization.

34130131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165068.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 34130131001 its reverse (10013103143), we get a palindrome (44143234144).

The spelling of 34130131001 in words is "thirty-four billion, one hundred thirty million, one hundred thirty-one thousand, one".