51103005313122 has 240 divisors, whose sum is σ = 141116436413568. Its totient is φ = 13734477469440.

The previous prime is 51103005313103. The next prime is 51103005313163. The reversal of 51103005313122 is 22131350030115.

51103005313122 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 3 + 0 + 0 + 531 + 3 + 122 = 666.

It is a super-2 number, since 2×51103005313122² (a number of 28 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 119 ways as a sum of consecutive naturals, for example, 249142747 + ... + 249347777.

Almost surely, 2^{51103005313122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51103005313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70558218206784).

51103005313122 is an abundant number, since it is smaller than the sum of its proper divisors (90013431100446).

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

51103005313122 is a wasteful number, since it uses less digits than its factorization.

51103005313122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206923 (or 206907 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 51103005313122 its reverse (22131350030115), we get a palindrome (73234355343237).

The spelling of 51103005313122 in words is "fifty-one trillion, one hundred three billion, five million, three hundred thirteen thousand, one hundred twenty-two".