13033101100032 has 132 divisors (see below), whose sum is σ = 40527627469420. Its totient is φ = 4010184916992.

The previous prime is 13033101100031. The next prime is 13033101100081. The reversal of 13033101100032 is 23000110133031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1033361703936 + 11999739396096 = 1016544^2 + 3464064^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13033101099978 and 13033101100014.

It is not an unprimeable number, because it can be changed into a prime (13033101100031) 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, 54271807 + ... + 54511422.

Almost surely, 2^{13033101100032} is an apocalyptic number.

13033101100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13033101100032 is an abundant number, since it is smaller than the sum of its proper divisors (27494526369388).

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

13033101100032 is a wasteful number, since it uses less digits than its factorization.

13033101100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108783268 (or 108783247 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13033101100032 its reverse (23000110133031), we get a palindrome (36033211233063).

The spelling of 13033101100032 in words is "thirteen trillion, thirty-three billion, one hundred one million, one hundred thousand, thirty-two".