13151309820 has 192 divisors, whose sum is σ = 42648270336. Its totient is φ = 2992619520.

The previous prime is 13151309791. The next prime is 13151309827. The reversal of 13151309820 is 2890315131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13151309827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4856907 + ... + 4859613.

It is an arithmetic number, because the mean of its divisors is an integer number (222126408).

Almost surely, 2^13151309820 is an apocalyptic number.

13151309820 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 13151309820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21324135168).

13151309820 is an abundant number, since it is smaller than the sum of its proper divisors (29496960516).

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

13151309820 is a wasteful number, since it uses less digits than its factorization.

13151309820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 13151309820 in words is "thirteen billion, one hundred fifty-one million, three hundred nine thousand, eight hundred twenty".