13101013300000 has 72 divisors (see below), whose sum is σ = 32238711754452. Its totient is φ = 5240405280000.

The previous prime is 13101013299989. The next prime is 13101013300003. The reversal of 13101013300000 is 331010131.

It is a happy number.

13101013300000 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 6 ways, for example, as 3249525390736 + 9851487909264 = 1802644^2 + 3138708^2 .

It is not an unprimeable number, because it can be changed into a prime (13101013300003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65405067 + ... + 65605066.

Almost surely, 2^{13101013300000} is an apocalyptic number.

13101013300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101013300000 is an abundant number, since it is smaller than the sum of its proper divisors (19137698454452).

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

13101013300000 is an frugal number, since it uses more digits than its factorization.

13101013300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131010168 (or 131010140 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13101013300000 its reverse (331010131), we get a palindrome (13101344310131).

The spelling of 13101013300000 in words is "thirteen trillion, one hundred one billion, thirteen million, three hundred thousand".