122121332103213 has 16 divisors (see below), whose sum is σ = 181392869283840. Its totient is φ = 81201651626592.

The previous prime is 122121332103187. The next prime is 122121332103319. The reversal of 122121332103213 is 312301233121221.

122121332103213 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 1 + 332 + 1 + 0 + 321 + 3 = 666.

It is not a de Polignac number, because 122121332103213 - 2⁵ = 122121332103181 is a prime.

It is a super-3 number, since 3×122121332103213³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121332153213) 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, 5904705456 + ... + 5904726137.

It is an arithmetic number, because the mean of its divisors is an integer number (11337054330240).

Almost surely, 2^{122121332103213} is an apocalyptic number.

It is an amenable number.

122121332103213 is a deficient number, since it is larger than the sum of its proper divisors (59271537180627).

122121332103213 is a wasteful number, since it uses less digits than its factorization.

122121332103213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11809431985 (or 11809431979 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122121332103213 its reverse (312301233121221), we get a palindrome (434422565224434).

The spelling of 122121332103213 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, three hundred thirty-two million, one hundred three thousand, two hundred thirteen".