1310010313122 has 128 divisors (see below), whose sum is σ = 3442399603200. Its totient is φ = 361312358400.

The previous prime is 1310010313109. The next prime is 1310010313141. The reversal of 1310010313122 is 2213130100131.

1310010313122 is a `hidden beast` number, since 1 + 310 + 0 + 10 + 31 + 312 + 2 = 666.

It is a super-2 number, since 2×1310010313122² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1310010313095 and 1310010313104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85945422 + ... + 85960662.

It is an arithmetic number, because the mean of its divisors is an integer number (26893746900).

Almost surely, 2^{1310010313122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310010313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721199801600).

1310010313122 is an abundant number, since it is smaller than the sum of its proper divisors (2132389290078).

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

1310010313122 is a wasteful number, since it uses less digits than its factorization.

1310010313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23129 (or 23123 counting only the distinct ones).

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

Adding to 1310010313122 its reverse (2213130100131), we get a palindrome (3523140413253).

The spelling of 1310010313122 in words is "one trillion, three hundred ten billion, ten million, three hundred thirteen thousand, one hundred twenty-two".