2013100200000 has 504 divisors, whose sum is σ = 7232851833480. Its totient is φ = 535296000000.

The previous prime is 2013100199939. The next prime is 2013100200017. The reversal of 2013100200000 is 20013102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1639055425536 + 374044774464 = 1280256^2 + 611592^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 721798606 + ... + 721801394.

It is an arithmetic number, because the mean of its divisors is an integer number (14350896495).

Almost surely, 2^{2013100200000} is an apocalyptic number.

2013100200000 is a gapful number since it is divisible by the number (20) 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 2013100200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616425916740).

2013100200000 is an abundant number, since it is smaller than the sum of its proper divisors (5219751633480).

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

2013100200000 is an equidigital number, since it uses as much as digits as its factorization.

2013100200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2013100200000 its reverse (20013102), we get a palindrome (2013120213102).

The spelling of 2013100200000 in words is "two trillion, thirteen billion, one hundred million, two hundred thousand".