13431542100450 has 192 divisors, whose sum is σ = 34142107336704. Its totient is φ = 3493133280000.

The previous prime is 13431542100443. The next prime is 13431542100469. The reversal of 13431542100450 is 5400124513431.

13431542100450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2780279535 + ... + 2780284365.

It is an arithmetic number, because the mean of its divisors is an integer number (177823475712).

Almost surely, 2^{13431542100450} is an apocalyptic number.

13431542100450 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 13431542100450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17071053668352).

13431542100450 is an abundant number, since it is smaller than the sum of its proper divisors (20710565236254).

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

13431542100450 is a wasteful number, since it uses less digits than its factorization.

13431542100450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6921 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 13431542100450 its reverse (5400124513431), we get a palindrome (18831666613881).

The spelling of 13431542100450 in words is "thirteen trillion, four hundred thirty-one billion, five hundred forty-two million, one hundred thousand, four hundred fifty".