13330769100 has 144 divisors (see below), whose sum is σ = 42121054080. Its totient is φ = 3228300800.

The previous prime is 13330769093. The next prime is 13330769107. The reversal of 13330769100 is 196703331.

It is an interprime number because it is at equal distance from previous prime (13330769093) and next prime (13330769107).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13330769107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4727491 + ... + 4730309.

It is an arithmetic number, because the mean of its divisors is an integer number (292507320).

Almost surely, 2^13330769100 is an apocalyptic number.

13330769100 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 13330769100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060527040).

13330769100 is an abundant number, since it is smaller than the sum of its proper divisors (28790284980).

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

13330769100 is a wasteful number, since it uses less digits than its factorization.

13330769100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 33.

The spelling of 13330769100 in words is "thirteen billion, three hundred thirty million, seven hundred sixty-nine thousand, one hundred".