13410141300 has 90 divisors (see below), whose sum is σ = 43470406518. Its totient is φ = 3576035520.

The previous prime is 13410141299. The next prime is 13410141317. The reversal of 13410141300 is 314101431.

13410141300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 883159524 + 12526981776 = 29718^2 + 111924^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 819687 + ... + 835886.

Almost surely, 2^13410141300 is an apocalyptic number.

13410141300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13410141300 is an abundant number, since it is smaller than the sum of its proper divisors (30060265218).

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

13410141300 is a wasteful number, since it uses less digits than its factorization.

13410141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655599 (or 1655583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13410141300 its reverse (314101431), we get a palindrome (13724242731).

The spelling of 13410141300 in words is "thirteen billion, four hundred ten million, one hundred forty-one thousand, three hundred".