122121507313 has 8 divisors (see below), whose sum is σ = 131519161088. Its totient is φ = 112724380944.

The previous prime is 122121507289. The next prime is 122121507317. The reversal of 122121507313 is 313705121221.

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

It is a cyclic number.

It is not a de Polignac number, because 122121507313 - 2⁵ = 122121507281 is a prime.

It is a super-2 number, since 2×122121507313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122121507317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441406 + ... + 662632.

It is an arithmetic number, because the mean of its divisors is an integer number (16439895136).

Almost surely, 2^122121507313 is an apocalyptic number.

122121507313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122121507313 is a deficient number, since it is larger than the sum of its proper divisors (9397653775).

122121507313 is a wasteful number, since it uses less digits than its factorization.

122121507313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263703.

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 122121507313 its reverse (313705121221), we get a palindrome (435826628534).

The spelling of 122121507313 in words is "one hundred twenty-two billion, one hundred twenty-one million, five hundred seven thousand, three hundred thirteen".