13401320210100 has 54 divisors (see below), whose sum is σ = 42005693683590. Its totient is φ = 3573685389120.

The previous prime is 13401320210081. The next prime is 13401320210107. The reversal of 13401320210100 is 101202310431.

13401320210100 is a `hidden beast` number, since 1 + 34 + 0 + 1 + 320 + 210 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 868318330896 + 12533001879204 = 931836^2 + 3540198^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13401320210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7445176995 + ... + 7445178794.

Almost surely, 2^{13401320210100} is an apocalyptic number.

13401320210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13401320210100 is an abundant number, since it is smaller than the sum of its proper divisors (28604373473490).

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

13401320210100 is a wasteful number, since it uses less digits than its factorization.

13401320210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890355809 (or 14890355799 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13401320210100 its reverse (101202310431), we get a palindrome (13502522520531).

The spelling of 13401320210100 in words is "thirteen trillion, four hundred one billion, three hundred twenty million, two hundred ten thousand, one hundred".