13405455412100 has 36 divisors (see below), whose sum is σ = 29090068939344. Its totient is φ = 5362139640480.

The previous prime is 13405455412091. The next prime is 13405455412117. The reversal of 13405455412100 is 121455450431.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14161847 + ... + 15078753.

Almost surely, 2^{13405455412100} is an apocalyptic number.

13405455412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405455412100 is an abundant number, since it is smaller than the sum of its proper divisors (15684613527244).

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

13405455412100 is a wasteful number, since it uses less digits than its factorization.

13405455412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063124 (or 1063117 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 13405455412100 in words is "thirteen trillion, four hundred five billion, four hundred fifty-five million, four hundred twelve thousand, one hundred".