13501004311100 has 144 divisors (see below), whose sum is σ = 30423202123776. Its totient is φ = 5195013408000.

The previous prime is 13501004311079. The next prime is 13501004311141. The reversal of 13501004311100 is 111340010531.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 372146162 + ... + 372182438.

Almost surely, 2^{13501004311100} is an apocalyptic number.

13501004311100 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 13501004311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211601061888).

13501004311100 is an abundant number, since it is smaller than the sum of its proper divisors (16922197812676).

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

13501004311100 is a wasteful number, since it uses less digits than its factorization.

13501004311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37036 (or 37029 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 13501004311100 its reverse (111340010531), we get a palindrome (13612344321631).

The spelling of 13501004311100 in words is "thirteen trillion, five hundred one billion, four million, three hundred eleven thousand, one hundred".