213013203012001 has 16 divisors (see below), whose sum is σ = 245723293716480. Its totient is φ = 180873082518480.

The previous prime is 213013203011971. The next prime is 213013203012079. The reversal of 213013203012001 is 100210302310312.

It is a cyclic number.

It is not a de Polignac number, because 213013203012001 - 2¹⁵ = 213013202979233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213013203012001.

It is not an unprimeable number, because it can be changed into a prime (213013203012091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39175110 + ... + 44279968.

It is an arithmetic number, because the mean of its divisors is an integer number (15357705857280).

Almost surely, 2^{213013203012001} is an apocalyptic number.

It is an amenable number.

213013203012001 is a deficient number, since it is larger than the sum of its proper divisors (32710090704479).

213013203012001 is a wasteful number, since it uses less digits than its factorization.

213013203012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160684.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213013203012001 its reverse (100210302310312), we get a palindrome (313223505322313).

The spelling of 213013203012001 in words is "two hundred thirteen trillion, thirteen billion, two hundred three million, twelve thousand, one".