101130313122 has 48 divisors (see below), whose sum is σ = 225616804920. Its totient is φ = 32714620416.

The previous prime is 101130313103. The next prime is 101130313139. The reversal of 101130313122 is 221313031101.

101130313122 is a `hidden beast` number, since 101 + 130 + 313 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98853019281 + 2277293841 = 314409^2 + 47721^2 .

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 = 101130313095 and 101130313104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63898 + ... + 454250.

Almost surely, 2^101130313122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101130313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112808402460).

101130313122 is an abundant number, since it is smaller than the sum of its proper divisors (124486491798).

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

101130313122 is a wasteful number, since it uses less digits than its factorization.

101130313122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390787 (or 390784 counting only the distinct ones).

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

Adding to 101130313122 its reverse (221313031101), we get a palindrome (322443344223).

The spelling of 101130313122 in words is "one hundred one billion, one hundred thirty million, three hundred thirteen thousand, one hundred twenty-two".