1310100133122 has 192 divisors, whose sum is σ = 3207471022080. Its totient is φ = 382979664000.

The previous prime is 1310100133091. The next prime is 1310100133141. The reversal of 1310100133122 is 2213310010131.

1310100133122 is a `hidden beast` number, since 1 + 310 + 1 + 0 + 0 + 1 + 331 + 22 = 666.

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 = 1310100133095 and 1310100133104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 910423279 + ... + 910424717.

It is an arithmetic number, because the mean of its divisors is an integer number (16705578240).

Almost surely, 2^{1310100133122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310100133122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603735511040).

1310100133122 is an abundant number, since it is smaller than the sum of its proper divisors (1897370888958).

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

1310100133122 is a wasteful number, since it uses less digits than its factorization.

1310100133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2466 counting only the distinct ones).

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

Adding to 1310100133122 its reverse (2213310010131), we get a palindrome (3523410143253).

The spelling of 1310100133122 in words is "one trillion, three hundred ten billion, one hundred million, one hundred thirty-three thousand, one hundred twenty-two".