13502120033034 has 40 divisors (see below), whose sum is σ = 30254968926468. Its totient is φ = 4500674176320.

The previous prime is 13502120033029. The next prime is 13502120033041. The reversal of 13502120033034 is 43033002120531.

13502120033034 is a `hidden beast` number, since 1 + 3 + 502 + 120 + 0 + 3 + 3 + 0 + 34 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10763747064225 + 2738372968809 = 3280815^2 + 1654803^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13502120032989 and 13502120033007.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34795974 + ... + 35181870.

Almost surely, 2^{13502120033034} is an apocalyptic number.

13502120033034 is an abundant number, since it is smaller than the sum of its proper divisors (16752848893434).

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

13502120033034 is a wasteful number, since it uses less digits than its factorization.

13502120033034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601892 (or 601883 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13502120033034 its reverse (43033002120531), we get a palindrome (56535122153565).

The spelling of 13502120033034 in words is "thirteen trillion, five hundred two billion, one hundred twenty million, thirty-three thousand, thirty-four".