13402401100 has 72 divisors (see below), whose sum is σ = 31848461568. Its totient is φ = 4854964800.

The previous prime is 13402401091. The next prime is 13402401107. The reversal of 13402401100 is 110420431.

13402401100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13402401107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266137 + ... + 312463.

It is an arithmetic number, because the mean of its divisors is an integer number (442339744).

Almost surely, 2^13402401100 is an apocalyptic number.

13402401100 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 13402401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15924230784).

13402401100 is an abundant number, since it is smaller than the sum of its proper divisors (18446060468).

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

13402401100 is a wasteful number, since it uses less digits than its factorization.

13402401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46615 (or 46608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13402401100 its reverse (110420431), we get a palindrome (13512821531).

The spelling of 13402401100 in words is "thirteen billion, four hundred two million, four hundred one thousand, one hundred".