34131132212001 has 64 divisors (see below), whose sum is σ = 55690508206080. Its totient is φ = 18345960959040.

The previous prime is 34131132211937. The next prime is 34131132212011. The reversal of 34131132212001 is 10021223113143.

It is not a de Polignac number, because 34131132212001 - 2⁶ = 34131132211937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34131132212011) 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 63 ways as a sum of consecutive naturals, for example, 24500575 + ... + 25856148.

It is an arithmetic number, because the mean of its divisors is an integer number (870164190720).

Almost surely, 2^{34131132212001} is an apocalyptic number.

It is an amenable number.

34131132212001 is a deficient number, since it is larger than the sum of its proper divisors (21559375994079).

34131132212001 is a wasteful number, since it uses less digits than its factorization.

34131132212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50356826.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 34131132212001 its reverse (10021223113143), we get a palindrome (44152355325144).

The spelling of 34131132212001 in words is "thirty-four trillion, one hundred thirty-one billion, one hundred thirty-two million, two hundred twelve thousand, one".