103413013000 has 192 divisors, whose sum is σ = 266572378800. Its totient is φ = 37521792000.

The previous prime is 103413012971. The next prime is 103413013049. The reversal of 103413013000 is 310314301.

103413013000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3175524 + 103409837476 = 1782^2 + 321574^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91596436 + ... + 91597564.

Almost surely, 2^103413013000 is an apocalyptic number.

103413013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103413013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133286189400).

103413013000 is an abundant number, since it is smaller than the sum of its proper divisors (163159365800).

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

103413013000 is a wasteful number, since it uses less digits than its factorization.

103413013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103413013000 its reverse (310314301), we get a palindrome (103723327301).

It can be divided in two parts, 10341301 and 3000, that added together give a palindrome (10344301).

The spelling of 103413013000 in words is "one hundred three billion, four hundred thirteen million, thirteen thousand".