4213000000001 has 16 divisors (see below), whose sum is σ = 4808004158160. Its totient is φ = 3663241236480.

The previous prime is 4212999999979. The next prime is 4213000000003. The reversal of 4213000000001 is 1000000003124.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2344650000625 + 1868349999376 = 1531225^2 + 1366876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4213000000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4213000000003) 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, 136265840 + ... + 136296753.

It is an arithmetic number, because the mean of its divisors is an integer number (300500259885).

Almost surely, 2^{4213000000001} is an apocalyptic number.

4213000000001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4213000000001 is a deficient number, since it is larger than the sum of its proper divisors (595004158159).

4213000000001 is a wasteful number, since it uses less digits than its factorization.

4213000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272562676.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 4213000000001 its reverse (1000000003124), we get a palindrome (5213000003125).

The spelling of 4213000000001 in words is "four trillion, two hundred thirteen billion, one", and thus it is an aban number.