13405435253100 has 648 divisors, whose sum is σ = 46481442143136. Its totient is φ = 3229079040000.

The previous prime is 13405435253087. The next prime is 13405435253137. The reversal of 13405435253100 is 135253450431.

13405435253100 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 543 + 5 + 2 + 5 + 3 + 100 = 666.

It is a super-2 number, since 2×13405435253100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 215 ways as a sum of consecutive naturals, for example, 16288499289 + ... + 16288500111.

Almost surely, 2^{13405435253100} is an apocalyptic number.

13405435253100 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 13405435253100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23240721071568).

13405435253100 is an abundant number, since it is smaller than the sum of its proper divisors (33076006890036).

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

13405435253100 is a wasteful number, since it uses less digits than its factorization.

13405435253100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 13405435253100 in words is "thirteen trillion, four hundred five billion, four hundred thirty-five million, two hundred fifty-three thousand, one hundred".