1100135256705 has 24 divisors (see below), whose sum is σ = 1907000903808. Its totient is φ = 586708098336.

The previous prime is 1100135256677. The next prime is 1100135256713. The reversal of 1100135256705 is 5076525310011.

It is a happy number.

1100135256705 is a `hidden beast` number, since 110 + 0 + 13 + 525 + 6 + 7 + 0 + 5 = 666.

It is not a de Polignac number, because 1100135256705 - 2⁶ = 1100135256641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1100135256705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243144 + ... + 1503126.

It is an arithmetic number, because the mean of its divisors is an integer number (79458370992).

Almost surely, 2^{1100135256705} is an apocalyptic number.

1100135256705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1100135256705 is a deficient number, since it is larger than the sum of its proper divisors (806865647103).

1100135256705 is a wasteful number, since it uses less digits than its factorization.

1100135256705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279397 (or 1279394 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 1100135256705 in words is "one trillion, one hundred billion, one hundred thirty-five million, two hundred fifty-six thousand, seven hundred five".