213122420202401 has 16 divisors (see below), whose sum is σ = 216255966998400. Its totient is φ = 210010730832000.

The previous prime is 213122420202397. The next prime is 213122420202407. The reversal of 213122420202401 is 104202024221312.

It is a happy number.

213122420202401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 213122420202401 - 2² = 213122420202397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213122420202407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19336490 + ... + 28286828.

It is an arithmetic number, because the mean of its divisors is an integer number (13515997937400).

Almost surely, 2^{213122420202401} is an apocalyptic number.

It is an amenable number.

213122420202401 is a deficient number, since it is larger than the sum of its proper divisors (3133546795999).

213122420202401 is a wasteful number, since it uses less digits than its factorization.

213122420202401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8951560.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 213122420202401 its reverse (104202024221312), we get a palindrome (317324444423713).

The spelling of 213122420202401 in words is "two hundred thirteen trillion, one hundred twenty-two billion, four hundred twenty million, two hundred two thousand, four hundred one".