13310211013000 has 1024 divisors, whose sum is σ = 38557712793600. Its totient is φ = 4243599360000.

The previous prime is 13310211012991. The next prime is 13310211013069. The reversal of 13310211013000 is 31011201331.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15495006571 + ... + 15495007429.

It is an arithmetic number, because the mean of its divisors is an integer number (37654016400).

Almost surely, 2^{13310211013000} is an apocalyptic number.

13310211013000 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 13310211013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278856396800).

13310211013000 is an abundant number, since it is smaller than the sum of its proper divisors (25247501780600).

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

13310211013000 is a wasteful number, since it uses less digits than its factorization.

13310211013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13310211013000 its reverse (31011201331), we get a palindrome (13341222214331).

The spelling of 13310211013000 in words is "thirteen trillion, three hundred ten billion, two hundred eleven million, thirteen thousand".