122340413313 has 28 divisors (see below), whose sum is σ = 187692495760. Its totient is φ = 79663504536.

The previous prime is 122340413297. The next prime is 122340413387. The reversal of 122340413313 is 313314043221.

It is a happy number.

122340413313 is a `hidden beast` number, since 1 + 2 + 2 + 340 + 4 + 1 + 3 + 313 = 666.

It is not a de Polignac number, because 122340413313 - 2⁴ = 122340413297 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122340413213) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1920043 + ... + 1982736.

It is an arithmetic number, because the mean of its divisors is an integer number (6703303420).

Almost surely, 2^122340413313 is an apocalyptic number.

It is an amenable number.

122340413313 is a deficient number, since it is larger than the sum of its proper divisors (65352082447).

122340413313 is an frugal number, since it uses more digits than its factorization.

122340413313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902840 (or 3902825 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122340413313 its reverse (313314043221), we get a palindrome (435654456534).

The spelling of 122340413313 in words is "one hundred twenty-two billion, three hundred forty million, four hundred thirteen thousand, three hundred thirteen".