122313011310 has 256 divisors, whose sum is σ = 386777825280. Its totient is φ = 26915535360.

The previous prime is 122313011291. The next prime is 122313011321. The reversal of 122313011310 is 13110313221.

122313011310 is a `hidden beast` number, since 1 + 2 + 231 + 301 + 131 + 0 = 666.

It is a super-2 number, since 2×122313011310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11536932 + ... + 11547528.

It is an arithmetic number, because the mean of its divisors is an integer number (1510850880).

Almost surely, 2^122313011310 is an apocalyptic number.

122313011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122313011310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193388912640).

122313011310 is an abundant number, since it is smaller than the sum of its proper divisors (264464813970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122313011310 is a wasteful number, since it uses less digits than its factorization.

122313011310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10848 (or 10842 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 122313011310 its reverse (13110313221), we get a palindrome (135423324531).

The spelling of 122313011310 in words is "one hundred twenty-two billion, three hundred thirteen million, eleven thousand, three hundred ten".