13401010350 has 288 divisors, whose sum is σ = 44822756160. Its totient is φ = 2794936320.

The previous prime is 13401010339. The next prime is 13401010361. The reversal of 13401010350 is 5301010431.

13401010350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13401010339) and next prime (13401010361).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3642712 + ... + 3646388.

It is an arithmetic number, because the mean of its divisors is an integer number (155634570).

Almost surely, 2^13401010350 is an apocalyptic number.

13401010350 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 13401010350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22411378080).

13401010350 is an abundant number, since it is smaller than the sum of its proper divisors (31421745810).

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

13401010350 is a wasteful number, since it uses less digits than its factorization.

13401010350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13401010350 its reverse (5301010431), we get a palindrome (18702020781).

The spelling of 13401010350 in words is "thirteen billion, four hundred one million, ten thousand, three hundred fifty".