122513301313 has 24 divisors (see below), whose sum is σ = 137296555200. Its totient is φ = 109142115264.

The previous prime is 122513301301. The next prime is 122513301373. The reversal of 122513301313 is 313103315221.

It is a de Polignac number, because none of the positive numbers 2^k-122513301313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122513301373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16203828 + ... + 16211386.

It is an arithmetic number, because the mean of its divisors is an integer number (5720689800).

Almost surely, 2^122513301313 is an apocalyptic number.

122513301313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122513301313 is a deficient number, since it is larger than the sum of its proper divisors (14783253887).

122513301313 is a wasteful number, since it uses less digits than its factorization.

122513301313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10921 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 122513301313 its reverse (313103315221), we get a palindrome (435616616534).

The spelling of 122513301313 in words is "one hundred twenty-two billion, five hundred thirteen million, three hundred one thousand, three hundred thirteen".