13333029771152 has 160 divisors (see below), whose sum is σ = 33763704817920. Its totient is φ = 4952772034560.

The previous prime is 13333029771109. The next prime is 13333029771163. The reversal of 13333029771152 is 25117792033331.

It is a super-3 number, since 3×13333029771152³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13333029771097 and 13333029771106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993452 + ... + 5258612.

It is an arithmetic number, because the mean of its divisors is an integer number (211023155112).

Almost surely, 2^{13333029771152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13333029771152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16881852408960).

13333029771152 is an abundant number, since it is smaller than the sum of its proper divisors (20430675046768).

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

13333029771152 is a wasteful number, since it uses less digits than its factorization.

13333029771152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265321 (or 4265315 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 47.

The spelling of 13333029771152 in words is "thirteen trillion, three hundred thirty-three billion, twenty-nine million, seven hundred seventy-one thousand, one hundred fifty-two".