13000100003010 has 48 divisors (see below), whose sum is σ = 34099377379704. Its totient is φ = 3436014629376.

The previous prime is 13000100002969. The next prime is 13000100003029. The reversal of 13000100003010 is 1030000100031.

It can be written as a sum of positive squares in 4 ways, for example, as 7356847947201 + 5643252055809 = 2712351^2 + 2375553^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13000100002983 and 13000100003001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639129457 + ... + 639149796.

Almost surely, 2^{13000100003010} is an apocalyptic number.

13000100003010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13000100003010 is an abundant number, since it is smaller than the sum of its proper divisors (21099277376694).

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

13000100003010 is a wasteful number, since it uses less digits than its factorization.

13000100003010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278279379 (or 1278279376 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 13000100003010 its reverse (1030000100031), we get a palindrome (14030100103041).

The spelling of 13000100003010 in words is "thirteen trillion, one hundred million, three thousand, ten".