13210142101300 has 54 divisors (see below), whose sum is σ = 28876780705682. Its totient is φ = 5245486337280.

The previous prime is 13210142101297. The next prime is 13210142101357. The reversal of 13210142101300 is 310124101231.

It can be written as a sum of positive squares in 9 ways, for example, as 6519218332176 + 6690923769124 = 2553276^2 + 2586682^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1642239 + ... + 5396038.

Almost surely, 2^{13210142101300} is an apocalyptic number.

13210142101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13210142101300 is an abundant number, since it is smaller than the sum of its proper divisors (15666638604382).

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

13210142101300 is a wasteful number, since it uses less digits than its factorization.

13210142101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038565 (or 7038421 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13210142101300 its reverse (310124101231), we get a palindrome (13520266202531).

The spelling of 13210142101300 in words is "thirteen trillion, two hundred ten billion, one hundred forty-two million, one hundred one thousand, three hundred".