13333100148135 has 64 divisors (see below), whose sum is σ = 23768997436800. Its totient is φ = 7091289483264.

The previous prime is 13333100148131. The next prime is 13333100148209. The reversal of 13333100148135 is 53184100133331.

13333100148135 is a `hidden beast` number, since 1 + 333 + 310 + 0 + 1 + 4 + 8 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 13333100148135 - 2² = 13333100148131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13333100148135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333100148131) 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, 129309381 + ... + 129412449.

It is an arithmetic number, because the mean of its divisors is an integer number (371390584950).

Almost surely, 2^{13333100148135} is an apocalyptic number.

13333100148135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13333100148135 is a deficient number, since it is larger than the sum of its proper divisors (10435897288665).

13333100148135 is a wasteful number, since it uses less digits than its factorization.

13333100148135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105729 (or 105723 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13333100148135 in words is "thirteen trillion, three hundred thirty-three billion, one hundred million, one hundred forty-eight thousand, one hundred thirty-five".