213002321301 has 192 divisors, whose sum is σ = 413683200000. Its totient is φ = 107048874240.

The previous prime is 213002321281. The next prime is 213002321309. The reversal of 213002321301 is 103123200312.

213002321301 is a `hidden beast` number, since 2 + 1 + 300 + 232 + 130 + 1 = 666.

It is not a de Polignac number, because 213002321301 - 2⁵ = 213002321269 is a prime.

It is a super-2 number, since 2×213002321301² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213002321309) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60873450 + ... + 60876948.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600000).

Almost surely, 2^213002321301 is an apocalyptic number.

213002321301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213002321301 is a deficient number, since it is larger than the sum of its proper divisors (200680878699).

213002321301 is a wasteful number, since it uses less digits than its factorization.

213002321301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213002321301 its reverse (103123200312), we get a palindrome (316125521613).

The spelling of 213002321301 in words is "two hundred thirteen billion, two million, three hundred twenty-one thousand, three hundred one".