13123410101300 has 18 divisors (see below), whose sum is σ = 28477799920038. Its totient is φ = 5249364040480.

The previous prime is 13123410101203. The next prime is 13123410101339. The reversal of 13123410101300 is 310101432131.

It can be written as a sum of positive squares in 3 ways, for example, as 852527208976 + 12270882892324 = 923324^2 + 3502982^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65617050407 + ... + 65617050606.

Almost surely, 2^{13123410101300} is an apocalyptic number.

13123410101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123410101300 is an abundant number, since it is smaller than the sum of its proper divisors (15354389818738).

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

13123410101300 is a wasteful number, since it uses less digits than its factorization.

13123410101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131234101027 (or 131234101020 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13123410101300 its reverse (310101432131), we get a palindrome (13433511533431).

The spelling of 13123410101300 in words is "thirteen trillion, one hundred twenty-three billion, four hundred ten million, one hundred one thousand, three hundred".