1003000413030 has 256 divisors, whose sum is σ = 3139009708032. Its totient is φ = 198887040000.

The previous prime is 1003000413029. The next prime is 1003000413047. The reversal of 1003000413030 is 303140003001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22877130 + ... + 22920930.

It is an arithmetic number, because the mean of its divisors is an integer number (12261756672).

Almost surely, 2^{1003000413030} is an apocalyptic number.

1003000413030 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 1003000413030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569504854016).

1003000413030 is an abundant number, since it is smaller than the sum of its proper divisors (2136009295002).

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

1003000413030 is a wasteful number, since it uses less digits than its factorization.

1003000413030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44283.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1003000413030 its reverse (303140003001), we get a palindrome (1306140416031).

The spelling of 1003000413030 in words is "one trillion, three billion, four hundred thirteen thousand, thirty".