1010131112322 has 192 divisors, whose sum is σ = 2386207309824. Its totient is φ = 308017987200.

The previous prime is 1010131112293. The next prime is 1010131112327. The reversal of 1010131112322 is 2232111310101.

1010131112322 is a `hidden beast` number, since 10 + 10 + 1 + 311 + 12 + 322 = 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 = 1010131112295 and 1010131112304.

It is not an unprimeable number, because it can be changed into a prime (1010131112327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165565072 + ... + 165571172.

It is an arithmetic number, because the mean of its divisors is an integer number (12428163072).

Almost surely, 2^{1010131112322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010131112322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193103654912).

1010131112322 is an abundant number, since it is smaller than the sum of its proper divisors (1376076197502).

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

1010131112322 is a wasteful number, since it uses less digits than its factorization.

1010131112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1010131112322 its reverse (2232111310101), we get a palindrome (3242242422423).

The spelling of 1010131112322 in words is "one trillion, ten billion, one hundred thirty-one million, one hundred twelve thousand, three hundred twenty-two".