34131430101 has 32 divisors (see below), whose sum is σ = 47483230720. Its totient is φ = 21794572800.

The previous prime is 34131430087. The next prime is 34131430103. The reversal of 34131430101 is 10103413143.

It is not a de Polignac number, because 34131430101 - 2⁷ = 34131429973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131430103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039191 + ... + 1071531.

It is an arithmetic number, because the mean of its divisors is an integer number (1483850960).

Almost surely, 2^34131430101 is an apocalyptic number.

It is an amenable number.

34131430101 is a deficient number, since it is larger than the sum of its proper divisors (13351800619).

34131430101 is a wasteful number, since it uses less digits than its factorization.

34131430101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32557.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 34131430101 its reverse (10103413143), we get a palindrome (44234843244).

The spelling of 34131430101 in words is "thirty-four billion, one hundred thirty-one million, four hundred thirty thousand, one hundred one".