13465442100 has 144 divisors (see below), whose sum is σ = 43873191936. Its totient is φ = 3159024000.

The previous prime is 13465442087. The next prime is 13465442117. The reversal of 13465442100 is 124456431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36487 + ... + 168113.

It is an arithmetic number, because the mean of its divisors is an integer number (304674944).

Almost surely, 2^13465442100 is an apocalyptic number.

13465442100 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 13465442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936595968).

13465442100 is an abundant number, since it is smaller than the sum of its proper divisors (30407749836).

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

13465442100 is a wasteful number, since it uses less digits than its factorization.

13465442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131686 (or 131679 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13465442100 its reverse (124456431), we get a palindrome (13589898531).

The spelling of 13465442100 in words is "thirteen billion, four hundred sixty-five million, four hundred forty-two thousand, one hundred".