11310145659135 has 192 divisors, whose sum is σ = 21058862423040. Its totient is φ = 5598657792000.

The previous prime is 11310145659121. The next prime is 11310145659149. The reversal of 11310145659135 is 53195654101311.

11310145659135 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 1 + 4 + 56 + 591 + 3 + 5 = 666.

It is a Cunningham number, because it is equal to 3363056²-1.

It is an interprime number because it is at equal distance from previous prime (11310145659121) and next prime (11310145659149).

It is not a de Polignac number, because 11310145659135 - 2⁴ = 11310145659119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8760762840 + ... + 8760764130.

It is an arithmetic number, because the mean of its divisors is an integer number (109681575120).

Almost surely, 2^{11310145659135} is an apocalyptic number.

11310145659135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11310145659135 is a deficient number, since it is larger than the sum of its proper divisors (9748716763905).

11310145659135 is a wasteful number, since it uses less digits than its factorization.

11310145659135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 11310145659135 in words is "eleven trillion, three hundred ten billion, one hundred forty-five million, six hundred fifty-nine thousand, one hundred thirty-five".