213122301101313 has 8 divisors (see below), whose sum is σ = 284841261616800. Its totient is φ = 141742437326688.

The previous prime is 213122301101287. The next prime is 213122301101393. The reversal of 213122301101313 is 313101103221312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 213122301101313 - 2³⁸ = 212847423194369 is a prime.

It is a super-2 number, since 2×213122301101313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213122301101393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84774183748 + ... + 84774186261.

It is an arithmetic number, because the mean of its divisors is an integer number (35605157702100).

Almost surely, 2^{213122301101313} is an apocalyptic number.

It is an amenable number.

213122301101313 is a deficient number, since it is larger than the sum of its proper divisors (71718960515487).

213122301101313 is a wasteful number, since it uses less digits than its factorization.

213122301101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169548370431.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 213122301101313 its reverse (313101103221312), we get a palindrome (526223404322625).

The spelling of 213122301101313 in words is "two hundred thirteen trillion, one hundred twenty-two billion, three hundred one million, one hundred one thousand, three hundred thirteen".