13411005100350 has 384 divisors, whose sum is σ = 39950614996992. Its totient is φ = 2933870284800.

The previous prime is 13411005100333. The next prime is 13411005100351. The reversal of 13411005100350 is 5300150011431.

It is a super-2 number, since 2×13411005100350² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13411005100350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411005100351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 944629452 + ... + 944643648.

It is an arithmetic number, because the mean of its divisors is an integer number (104038059888).

Almost surely, 2^{13411005100350} is an apocalyptic number.

13411005100350 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 13411005100350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975307498496).

13411005100350 is an abundant number, since it is smaller than the sum of its proper divisors (26539609896642).

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

13411005100350 is a wasteful number, since it uses less digits than its factorization.

13411005100350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15220 (or 15215 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 13411005100350 its reverse (5300150011431), we get a palindrome (18711155111781).

The spelling of 13411005100350 in words is "thirteen trillion, four hundred eleven billion, five million, one hundred thousand, three hundred fifty".