213012420201 has 36 divisors (see below), whose sum is σ = 370260879300. Its totient is φ = 117524086848.

The previous prime is 213012420161. The next prime is 213012420241. The reversal of 213012420201 is 102024210312.

It is a happy number.

213012420201 is a `hidden beast` number, since 2 + 1 + 30 + 12 + 420 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (213012420161) and next prime (213012420241).

It can be written as a sum of positive squares in 2 ways, for example, as 105690660201 + 107321760000 = 325101^2 + 327600^2 .

It is not a de Polignac number, because 213012420201 - 2¹⁸ = 213012158057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213012420241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8315166 + ... + 8340743.

It is an arithmetic number, because the mean of its divisors is an integer number (10285024425).

Almost surely, 2^213012420201 is an apocalyptic number.

213012420201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213012420201 is a deficient number, since it is larger than the sum of its proper divisors (157248459099).

213012420201 is a wasteful number, since it uses less digits than its factorization.

213012420201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16655958 (or 16655948 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213012420201 its reverse (102024210312), we get a palindrome (315036630513).

The spelling of 213012420201 in words is "two hundred thirteen billion, twelve million, four hundred twenty thousand, two hundred one".