13101203113000 has 128 divisors (see below), whose sum is σ = 30741507763200. Its totient is φ = 5226014976000.

The previous prime is 13101203112989. The next prime is 13101203113003. The reversal of 13101203113000 is 31130210131.

It is not an unprimeable number, because it can be changed into a prime (13101203113003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1244291736 + ... + 1244302264.

It is an arithmetic number, because the mean of its divisors is an integer number (240168029400).

Almost surely, 2^{13101203113000} is an apocalyptic number.

13101203113000 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 13101203113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15370753881600).

13101203113000 is an abundant number, since it is smaller than the sum of its proper divisors (17640304650200).

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

13101203113000 is a wasteful number, since it uses less digits than its factorization.

13101203113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13868 (or 13854 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13101203113000 its reverse (31130210131), we get a palindrome (13132333323131).

The spelling of 13101203113000 in words is "thirteen trillion, one hundred one billion, two hundred three million, one hundred thirteen thousand".