213002378349201 has 135 divisors (see below), whose sum is σ = 362885174949947. Its totient is φ = 120387944728800.

The previous prime is 213002378349181. The next prime is 213002378349223. The reversal of 213002378349201 is 102943873200312.

The square root of 213002378349201 is 14594601.

It is a perfect power (a square), and thus also a powerful number.

213002378349201 is a `hidden beast` number, since 2 + 1 + 30 + 0 + 2 + 3 + 78 + 349 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 204650162748801 + 8352215600400 = 14305599^2 + 2890020^2 .

It is not a de Polignac number, because 213002378349201 - 2⁷ = 213002378349073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213002378349401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 216686040556 + ... + 216686041538.

Almost surely, 2^{213002378349201} is an apocalyptic number.

213002378349201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213002378349201 is the 14594601-st square number.

213002378349201 is the 7297301-st centered octagonal number.

It is an amenable number.

213002378349201 is a deficient number, since it is larger than the sum of its proper divisors (149882796600746).

213002378349201 is an frugal number, since it uses more digits than its factorization.

213002378349201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 213002378349201 in words is "two hundred thirteen trillion, two billion, three hundred seventy-eight million, three hundred forty-nine thousand, two hundred one".