13653310000 has 100 divisors (see below), whose sum is σ = 36061412904. Its totient is φ = 4964800000.

The previous prime is 13653309937. The next prime is 13653310031. The reversal of 13653310000 is 1335631.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×13653310000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47940 + ... + 172060.

Almost surely, 2^13653310000 is an apocalyptic number.

13653310000 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 13653310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030706452).

13653310000 is an abundant number, since it is smaller than the sum of its proper divisors (22408102904).

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

13653310000 is a wasteful number, since it uses less digits than its factorization.

13653310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124160 (or 124139 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

Adding to 13653310000 its reverse (1335631), we get a palindrome (13654645631).

The spelling of 13653310000 in words is "thirteen billion, six hundred fifty-three million, three hundred ten thousand".