13210730910 has 256 divisors, whose sum is σ = 39388446720. Its totient is φ = 3128855040.

The previous prime is 13210730893. The next prime is 13210730917. The reversal of 13210730910 is 1903701231.

It is a super-2 number, since 2×13210730910² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210730917) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34492579 + ... + 34492961.

It is an arithmetic number, because the mean of its divisors is an integer number (153861120).

Almost surely, 2^13210730910 is an apocalyptic number.

13210730910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13210730910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19694223360).

13210730910 is an abundant number, since it is smaller than the sum of its proper divisors (26177715810).

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

13210730910 is a wasteful number, since it uses less digits than its factorization.

13210730910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 13210730910 in words is "thirteen billion, two hundred ten million, seven hundred thirty thousand, nine hundred ten".