13101313033000 has 32 divisors (see below), whose sum is σ = 30657072499560. Its totient is φ = 5240525212800.

The previous prime is 13101313032943. The next prime is 13101313033001. The reversal of 13101313033000 is 33031310131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8637803292196 + 4463509740804 = 2939014^2 + 2112702^2 .

It is not an unprimeable number, because it can be changed into a prime (13101313033001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6550655517 + ... + 6550657516.

Almost surely, 2^{13101313033000} is an apocalyptic number.

13101313033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101313033000 is an abundant number, since it is smaller than the sum of its proper divisors (17555759466560).

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

13101313033000 is a wasteful number, since it uses less digits than its factorization.

13101313033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13101313054 (or 13101313040 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 13101313033000 its reverse (33031310131), we get a palindrome (13134344343131).

The spelling of 13101313033000 in words is "thirteen trillion, one hundred one billion, three hundred thirteen million, thirty-three thousand".