13312132333000 has 64 divisors (see below), whose sum is σ = 31170503286000. Its totient is φ = 5321414707200.

The previous prime is 13312132332977. The next prime is 13312132333009. The reversal of 13312132333000 is 33323121331.

It can be written as a sum of positive squares in 8 ways, for example, as 1591246010916 + 11720886322084 = 1261446^2 + 3423578^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13312132333009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2748009 + ... + 5846008.

Almost surely, 2^{13312132333000} is an apocalyptic number.

13312132333000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312132333000 is an abundant number, since it is smaller than the sum of its proper divisors (17858370953000).

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

13312132333000 is a wasteful number, since it uses less digits than its factorization.

13312132333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8595587 (or 8595573 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13312132333000 its reverse (33323121331), we get a palindrome (13345455454331).

The spelling of 13312132333000 in words is "thirteen trillion, three hundred twelve billion, one hundred thirty-two million, three hundred thirty-three thousand".