13405501451100 has 576 divisors, whose sum is σ = 43640806809600. Its totient is φ = 3149116185600.

The previous prime is 13405501451081. The next prime is 13405501451101. The reversal of 13405501451100 is 115410550431.

13405501451100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405501451101) 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, 18439478937 + ... + 18439479663.

It is an arithmetic number, because the mean of its divisors is an integer number (75765289600).

Almost surely, 2^{13405501451100} is an apocalyptic number.

13405501451100 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 13405501451100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21820403404800).

13405501451100 is an abundant number, since it is smaller than the sum of its proper divisors (30235305358500).

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

13405501451100 is a wasteful number, since it uses less digits than its factorization.

13405501451100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 13405501451100 in words is "thirteen trillion, four hundred five billion, five hundred one million, four hundred fifty-one thousand, one hundred".