2513403304100 has 216 divisors, whose sum is σ = 5953066479360. Its totient is φ = 920642112000.

The previous prime is 2513403304007. The next prime is 2513403304201. The reversal of 2513403304100 is 14033043152.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2513403304100.

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, 1746631181 + ... + 1746632619.

It is an arithmetic number, because the mean of its divisors is an integer number (27560492960).

Almost surely, 2^{2513403304100} is an apocalyptic number.

2513403304100 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 2513403304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976533239680).

2513403304100 is an abundant number, since it is smaller than the sum of its proper divisors (3439663175260).

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

2513403304100 is a wasteful number, since it uses less digits than its factorization.

2513403304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 2513403304100 its reverse (14033043152), we get a palindrome (2527436347252).

The spelling of 2513403304100 in words is "two trillion, five hundred thirteen billion, four hundred three million, three hundred four thousand, one hundred".