103202033013135 has 32 divisors (see below), whose sum is σ = 209680321044480. Its totient is φ = 47178072234144.

The previous prime is 103202033013133. The next prime is 103202033013169. The reversal of 103202033013135 is 531310330202301.

103202033013135 is a `hidden beast` number, since 1 + 0 + 3 + 20 + 20 + 3 + 301 + 313 + 5 = 666.

It is not a de Polignac number, because 103202033013135 - 2¹ = 103202033013133 is a prime.

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 = 103202033013099 and 103202033013108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103202033013133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54604249327 + ... + 54604251216.

It is an arithmetic number, because the mean of its divisors is an integer number (6552510032640).

Almost surely, 2^{103202033013135} is an apocalyptic number.

103202033013135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103202033013135 is an abundant number, since it is smaller than the sum of its proper divisors (106478288031345).

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

103202033013135 is a wasteful number, since it uses less digits than its factorization.

103202033013135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109208500564 (or 109208500558 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 103202033013135 its reverse (531310330202301), we get a palindrome (634512363215436).

The spelling of 103202033013135 in words is "one hundred three trillion, two hundred two billion, thirty-three million, thirteen thousand, one hundred thirty-five".