13005353010 has 64 divisors (see below), whose sum is σ = 34395596928. Its totient is φ = 3126864384.

The previous prime is 13005353003. The next prime is 13005353029. The reversal of 13005353010 is 1035350031.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370987 + ... + 404526.

It is an arithmetic number, because the mean of its divisors is an integer number (537431202).

Almost surely, 2^13005353010 is an apocalyptic number.

13005353010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13005353010 is an abundant number, since it is smaller than the sum of its proper divisors (21390243918).

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

13005353010 is a wasteful number, since it uses less digits than its factorization.

13005353010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775579.

The product of its (nonzero) digits is 675, while the sum is 21.

The spelling of 13005353010 in words is "thirteen billion, five million, three hundred fifty-three thousand, ten".