13260967314 has 96 divisors (see below), whose sum is σ = 31746628800. Its totient is φ = 3679385472.

The previous prime is 13260967301. The next prime is 13260967319. The reversal of 13260967314 is 41376906231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13260967319) 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, 8560212 + ... + 8561760.

It is an arithmetic number, because the mean of its divisors is an integer number (330694050).

Almost surely, 2^13260967314 is an apocalyptic number.

13260967314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13260967314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873314400).

13260967314 is an abundant number, since it is smaller than the sum of its proper divisors (18485661486).

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

13260967314 is a wasteful number, since it uses less digits than its factorization.

13260967314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 13260967314 in words is "thirteen billion, two hundred sixty million, nine hundred sixty-seven thousand, three hundred fourteen".