13288023072 has 72 divisors (see below), whose sum is σ = 40010643036. Its totient is φ = 4168790016.

The previous prime is 13288023071. The next prime is 13288023107. The reversal of 13288023072 is 27032088231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12569997456 + 718025616 = 112116^2 + 26796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (13288023071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1352133 + ... + 1361924.

Almost surely, 2^13288023072 is an apocalyptic number.

13288023072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13288023072 is an abundant number, since it is smaller than the sum of its proper divisors (26722619964).

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

13288023072 is a wasteful number, since it uses less digits than its factorization.

13288023072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714090 (or 2714079 counting only the distinct ones).

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

The spelling of 13288023072 in words is "thirteen billion, two hundred eighty-eight million, twenty-three thousand, seventy-two".