13301101013100 has 144 divisors (see below), whose sum is σ = 40180318628352. Its totient is φ = 3390838640640.

The previous prime is 13301101013093. The next prime is 13301101013113. The reversal of 13301101013100 is 131010110331.

It is a super-2 number, since 2×13301101013100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13301101013100.

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, 11762124 + ... + 12843276.

Almost surely, 2^{13301101013100} is an apocalyptic number.

13301101013100 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 13301101013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20090159314176).

13301101013100 is an abundant number, since it is smaller than the sum of its proper divisors (26879217615252).

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

13301101013100 is a wasteful number, since it uses less digits than its factorization.

13301101013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082976 (or 1082969 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13301101013100 its reverse (131010110331), we get a palindrome (13432111123431).

The spelling of 13301101013100 in words is "thirteen trillion, three hundred one billion, one hundred one million, thirteen thousand, one hundred".