13077241320 has 256 divisors, whose sum is σ = 46278086400. Its totient is φ = 2914467840.

The previous prime is 13077241301. The next prime is 13077241327. The reversal of 13077241320 is 2314277031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13077241327) 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, 4614624 + ... + 4617456.

It is an arithmetic number, because the mean of its divisors is an integer number (180773775).

Almost surely, 2^13077241320 is an apocalyptic number.

13077241320 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 13077241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23139043200).

13077241320 is an abundant number, since it is smaller than the sum of its proper divisors (33200845080).

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

13077241320 is a wasteful number, since it uses less digits than its factorization.

13077241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 13077241320 in words is "thirteen billion, seventy-seven million, two hundred forty-one thousand, three hundred twenty".