13102013031300 has 864 divisors, whose sum is σ = 45764292397824. Its totient is φ = 3239792640000.

The previous prime is 13102013031277. The next prime is 13102013031307. The reversal of 13102013031300 is 313031020131.

It is a happy number.

13102013031300 is a `hidden beast` number, since 1 + 31 + 0 + 201 + 303 + 130 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13102013031307) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10055266449 + ... + 10055267751.

It is an arithmetic number, because the mean of its divisors is an integer number (52967931016).

Almost surely, 2^{13102013031300} is an apocalyptic number.

13102013031300 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 13102013031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22882146198912).

13102013031300 is an abundant number, since it is smaller than the sum of its proper divisors (32662279366524).

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

13102013031300 is a wasteful number, since it uses less digits than its factorization.

13102013031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13102013031300 its reverse (313031020131), we get a palindrome (13415044051431).

The spelling of 13102013031300 in words is "thirteen trillion, one hundred two billion, thirteen million, thirty-one thousand, three hundred".