13329502702152 has 256 divisors, whose sum is σ = 42157544808960. Its totient is φ = 3418616807424.

The previous prime is 13329502702141. The next prime is 13329502702157. The reversal of 13329502702152 is 25120720592331.

It is a super-2 number, since 2×13329502702152² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13329502702157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12570438 + ... + 13589514.

It is an arithmetic number, because the mean of its divisors is an integer number (164677909410).

Almost surely, 2^{13329502702152} is an apocalyptic number.

13329502702152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13329502702152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21078772404480).

13329502702152 is an abundant number, since it is smaller than the sum of its proper divisors (28828042106808).

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

13329502702152 is a wasteful number, since it uses less digits than its factorization.

13329502702152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019272 (or 1019268 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 13329502702152 in words is "thirteen trillion, three hundred twenty-nine billion, five hundred two million, seven hundred two thousand, one hundred fifty-two".