103301313133122 has 128 divisors (see below), whose sum is σ = 251874518112000. Its totient is φ = 31191312632832.

The previous prime is 103301313133093. The next prime is 103301313133147. The reversal of 103301313133122 is 221331313103301.

103301313133122 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 0 + 1 + 31 + 313 + 312 + 2 = 666.

It is a super-2 number, since 2×103301313133122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2732218 + ... + 14631050.

It is an arithmetic number, because the mean of its divisors is an integer number (1967769672750).

Almost surely, 2^{103301313133122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103301313133122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125937259056000).

103301313133122 is an abundant number, since it is smaller than the sum of its proper divisors (148573204978878).

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

103301313133122 is a wasteful number, since it uses less digits than its factorization.

103301313133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11899089 (or 11899083 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 103301313133122 its reverse (221331313103301), we get a palindrome (324632626236423).

The spelling of 103301313133122 in words is "one hundred three trillion, three hundred one billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred twenty-two".