13114247328 has 576 divisors, whose sum is σ = 48819843072. Its totient is φ = 3370429440.

The previous prime is 13114247327. The next prime is 13114247353. The reversal of 13114247328 is 82374241131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13114247292 and 13114247301.

It is not an unprimeable number, because it can be changed into a prime (13114247323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30427273 + ... + 30427703.

It is an arithmetic number, because the mean of its divisors is an integer number (84756672).

Almost surely, 2^13114247328 is an apocalyptic number.

13114247328 is a gapful number since it is divisible by the number (18) 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 13114247328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24409921536).

13114247328 is an abundant number, since it is smaller than the sum of its proper divisors (35705595744).

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

13114247328 is a wasteful number, since it uses less digits than its factorization.

13114247328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 499 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

Adding to 13114247328 its reverse (82374241131), we get a palindrome (95488488459).

The spelling of 13114247328 in words is "thirteen billion, one hundred fourteen million, two hundred forty-seven thousand, three hundred twenty-eight".