13000011012 has 36 divisors (see below), whose sum is σ = 32941521340. Its totient is φ = 4322737152.

The previous prime is 13000011007. The next prime is 13000011019. The reversal of 13000011012 is 21011000031.

It can be written as a sum of positive squares in 2 ways, for example, as 5556807936 + 7443203076 = 74544^2 + 86274^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 13000010985 and 13000011003.

It is not an unprimeable number, because it can be changed into a prime (13000011019) 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, 426733 + ... + 456180.

Almost surely, 2^13000011012 is an apocalyptic number.

13000011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13000011012 is an abundant number, since it is smaller than the sum of its proper divisors (19941510328).

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

13000011012 is a wasteful number, since it uses less digits than its factorization.

13000011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883332 (or 883327 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 13000011012 its reverse (21011000031), we get a palindrome (34011011043).

The spelling of 13000011012 in words is "thirteen billion, eleven thousand, twelve".