2013310101300 has 144 divisors (see below), whose sum is σ = 5917121280000. Its totient is φ = 528433942400.

The previous prime is 2013310101293. The next prime is 2013310101323. The reversal of 2013310101300 is 31010133102.

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 2013310101300.

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, 12679801 + ... + 12837599.

It is an arithmetic number, because the mean of its divisors is an integer number (41091120000).

Almost surely, 2^{2013310101300} is an apocalyptic number.

2013310101300 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 2013310101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958560640000).

2013310101300 is an abundant number, since it is smaller than the sum of its proper divisors (3903811178700).

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

2013310101300 is a wasteful number, since it uses less digits than its factorization.

2013310101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158486 (or 158479 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 2013310101300 its reverse (31010133102), we get a palindrome (2044320234402).

The spelling of 2013310101300 in words is "two trillion, thirteen billion, three hundred ten million, one hundred one thousand, three hundred".