13021012000 has 96 divisors (see below), whose sum is σ = 32043486384. Its totient is φ = 5200128000.

The previous prime is 13021011911. The next prime is 13021012013. The reversal of 13021012000 is 21012031.

It can be written as a sum of positive squares in 8 ways, for example, as 2373248656 + 10647763344 = 48716^2 + 103188^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2929780 + ... + 2934220.

Almost surely, 2^13021012000 is an apocalyptic number.

13021012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021743192).

13021012000 is an abundant number, since it is smaller than the sum of its proper divisors (19022474384).

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

13021012000 is an equidigital number, since it uses as much as digits as its factorization.

13021012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 13021012000 its reverse (21012031), we get a palindrome (13042024031).

The spelling of 13021012000 in words is "thirteen billion, twenty-one million, twelve thousand".