10413113340 has 96 divisors (see below), whose sum is σ = 33361735680. Its totient is φ = 2377299456.

The previous prime is 10413113339. The next prime is 10413113423. The reversal of 10413113340 is 4331131401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348096 + ... + 376824.

It is an arithmetic number, because the mean of its divisors is an integer number (347518080).

Almost surely, 2^10413113340 is an apocalyptic number.

10413113340 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 10413113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680867840).

10413113340 is an abundant number, since it is smaller than the sum of its proper divisors (22948622340).

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

10413113340 is a wasteful number, since it uses less digits than its factorization.

10413113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29611 (or 29609 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10413113340 its reverse (4331131401), we get a palindrome (14744244741).

It can be divided in two parts, 10413 and 113340, that added together give a triangular number (123753 = T₄₉₇).

The spelling of 10413113340 in words is "ten billion, four hundred thirteen million, one hundred thirteen thousand, three hundred forty".