13311113332032 has 84 divisors (see below), whose sum is σ = 38305910968416. Its totient is φ = 4419360288000.

The previous prime is 13311113332001. The next prime is 13311113332063. The reversal of 13311113332032 is 23023331111331.

13311113332032 is a `hidden beast` number, since 1 + 3 + 311 + 1 + 13 + 332 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13311113332001) and next prime (13311113332063).

It is a junction number, because it is equal to n+sod(n) for n = 13311113331987 and 13311113332005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45890428 + ... + 46179579.

It is an arithmetic number, because the mean of its divisors is an integer number (456022749624).

Almost surely, 2^{13311113332032} is an apocalyptic number.

13311113332032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13311113332032 is an abundant number, since it is smaller than the sum of its proper divisors (24994797636384).

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

13311113332032 is a wasteful number, since it uses less digits than its factorization.

13311113332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92070276 (or 92070263 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13311113332032 its reverse (23023331111331), we get a palindrome (36334444443363).

The spelling of 13311113332032 in words is "thirteen trillion, three hundred eleven billion, one hundred thirteen million, three hundred thirty-two thousand, thirty-two".