122101131313 has 16 divisors (see below), whose sum is σ = 147789633024. Its totient is φ = 98477084160.

The previous prime is 122101131311. The next prime is 122101131323. The reversal of 122101131313 is 313131101221.

It is not a de Polignac number, because 122101131313 - 2¹ = 122101131311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101131311) 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 15 ways as a sum of consecutive naturals, for example, 356328 + ... + 609238.

It is an arithmetic number, because the mean of its divisors is an integer number (9236852064).

Almost surely, 2^122101131313 is an apocalyptic number.

It is an amenable number.

122101131313 is a deficient number, since it is larger than the sum of its proper divisors (25688501711).

122101131313 is a wasteful number, since it uses less digits than its factorization.

122101131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256992.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 122101131313 its reverse (313131101221), we get a palindrome (435232232534).

The spelling of 122101131313 in words is "one hundred twenty-two billion, one hundred one million, one hundred thirty-one thousand, three hundred thirteen".