13233135402102 has 384 divisors, whose sum is σ = 34378066759680. Its totient is φ = 3357202464000.

The previous prime is 13233135402101. The next prime is 13233135402127. The reversal of 13233135402102 is 20120453133231.

It is a super-2 number, since 2×13233135402102² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13233135402102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233135402101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16317059277 + ... + 16317060087.

It is an arithmetic number, because the mean of its divisors is an integer number (89526215520).

Almost surely, 2^{13233135402102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233135402102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17189033379840).

13233135402102 is an abundant number, since it is smaller than the sum of its proper divisors (21144931357578).

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

13233135402102 is a wasteful number, since it uses less digits than its factorization.

13233135402102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13233135402102 its reverse (20120453133231), we get a palindrome (33353588535333).

The spelling of 13233135402102 in words is "thirteen trillion, two hundred thirty-three billion, one hundred thirty-five million, four hundred two thousand, one hundred two".