213011000001 has 6 divisors (see below), whose sum is σ = 307682555570. Its totient is φ = 142007333328.

The previous prime is 213010999951. The next prime is 213011000029. The reversal of 213011000001 is 100000110312.

It can be written as a sum of positive squares in only one way, i.e., 195519614976 + 17491385025 = 442176^2 + 132255^2 .

It is not a de Polignac number, because 213011000001 - 2²⁷ = 212876782273 is a prime.

It is a super-2 number, since 2×213011000001² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 23667888889 = 213011000001 / (2 + 1 + 3 + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213011000201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11833944436 + ... + 11833944453.

Almost surely, 2^213011000001 is an apocalyptic number.

It is an amenable number.

213011000001 is a deficient number, since it is larger than the sum of its proper divisors (94671555569).

213011000001 is a wasteful number, since it uses less digits than its factorization.

213011000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23667888895 (or 23667888892 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 213011000001 its reverse (100000110312), we get a palindrome (313011110313).

The spelling of 213011000001 in words is "two hundred thirteen billion, eleven million, one", and thus it is an aban number.