10103313030030 has 320 divisors, whose sum is σ = 31208880510720. Its totient is φ = 2319434611200.

The previous prime is 10103313030017. The next prime is 10103313030101. The reversal of 10103313030030 is 3003031330101.

10103313030030 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 331 + 3 + 0 + 300 + 30 = 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 = 10103313029985 and 10103313030012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 470107585 + ... + 470129075.

It is an arithmetic number, because the mean of its divisors is an integer number (97527751596).

Almost surely, 2^{10103313030030} is an apocalyptic number.

10103313030030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103313030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604440255360).

10103313030030 is an abundant number, since it is smaller than the sum of its proper divisors (21105567480690).

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

10103313030030 is a wasteful number, since it uses less digits than its factorization.

10103313030030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24317 (or 24308 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 10103313030030 its reverse (3003031330101), we get a palindrome (13106344360131).

The spelling of 10103313030030 in words is "ten trillion, one hundred three billion, three hundred thirteen million, thirty thousand, thirty".