13405350100 has 36 divisors (see below), whose sum is σ = 29094817500. Its totient is φ = 5361180160.

The previous prime is 13405350097. The next prime is 13405350149. The reversal of 13405350100 is 105350431.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2107360836 + 11297989264 = 45906^2 + 106292^2 .

It is a super-2 number, since 2×13405350100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 877326 + ... + 892474.

It is an arithmetic number, because the mean of its divisors is an integer number (808189375).

Almost surely, 2^13405350100 is an apocalyptic number.

13405350100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405350100 is an abundant number, since it is smaller than the sum of its proper divisors (15689467400).

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

13405350100 is a wasteful number, since it uses less digits than its factorization.

13405350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24012 (or 24005 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The spelling of 13405350100 in words is "thirteen billion, four hundred five million, three hundred fifty thousand, one hundred".