13210013000 has 32 divisors (see below), whose sum is σ = 30911432760. Its totient is φ = 5284004800.

The previous prime is 13210012969. The next prime is 13210013009. The reversal of 13210013000 is 31001231.

It can be written as a sum of positive squares in 4 ways, for example, as 2994059524 + 10215953476 = 54718^2 + 101074^2 .

It is not an unprimeable number, because it can be changed into a prime (13210013009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6604007 + ... + 6606006.

Almost surely, 2^13210013000 is an apocalyptic number.

13210013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13210013000 is an abundant number, since it is smaller than the sum of its proper divisors (17701419760).

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

13210013000 is a wasteful number, since it uses less digits than its factorization.

13210013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13210034 (or 13210020 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13210013000 its reverse (31001231), we get a palindrome (13241014231).

The spelling of 13210013000 in words is "thirteen billion, two hundred ten million, thirteen thousand".