13311210000 has 600 divisors, whose sum is σ = 49975377760. Its totient is φ = 3041280000.

The previous prime is 13311209983. The next prime is 13311210007. The reversal of 13311210000 is 1211331.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-4 number, since 4×13311210000⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13311210007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68969904 + ... + 68970096.

Almost surely, 2^13311210000 is an apocalyptic number.

13311210000 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 13311210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987688880).

13311210000 is an abundant number, since it is smaller than the sum of its proper divisors (36664167760).

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

13311210000 is a wasteful number, since it uses less digits than its factorization.

13311210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13311210000 its reverse (1211331), we get a palindrome (13312421331).

The spelling of 13311210000 in words is "thirteen billion, three hundred eleven million, two hundred ten thousand".