13531123350 has 144 divisors (see below), whose sum is σ = 37610926080. Its totient is φ = 3484036800.

The previous prime is 13531123339. The next prime is 13531123351. The reversal of 13531123350 is 5332113531.

13531123350 is a `hidden beast` number, since 1 + 3 + 531 + 123 + 3 + 5 + 0 = 666.

It is a super-2 number, since 2×13531123350² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531123351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8634267 + ... + 8635833.

Almost surely, 2^13531123350 is an apocalyptic number.

13531123350 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 13531123350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18805463040).

13531123350 is an abundant number, since it is smaller than the sum of its proper divisors (24079802730).

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

13531123350 is a wasteful number, since it uses less digits than its factorization.

13531123350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 13531123350 its reverse (5332113531), we get a palindrome (18863236881).

The spelling of 13531123350 in words is "thirteen billion, five hundred thirty-one million, one hundred twenty-three thousand, three hundred fifty".