213120202001301 has 128 divisors (see below), whose sum is σ = 383693300490240. Its totient is φ = 114271716708864.

The previous prime is 213120202001219. The next prime is 213120202001429. The reversal of 213120202001301 is 103100202021312.

213120202001301 is a `hidden beast` number, since 2 + 1 + 312 + 0 + 20 + 200 + 130 + 1 = 666.

It is not a de Polignac number, because 213120202001301 - 2¹¹ = 213120201999253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120202001701) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1491249490 + ... + 1491392396.

It is an arithmetic number, because the mean of its divisors is an integer number (2997603910080).

Almost surely, 2^{213120202001301} is an apocalyptic number.

213120202001301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213120202001301 is a deficient number, since it is larger than the sum of its proper divisors (170573098488939).

213120202001301 is a wasteful number, since it uses less digits than its factorization.

213120202001301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149472 (or 149466 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213120202001301 its reverse (103100202021312), we get a palindrome (316220404022613).

The spelling of 213120202001301 in words is "two hundred thirteen trillion, one hundred twenty billion, two hundred two million, one thousand, three hundred one".