1306122354135 has 40 divisors (see below), whose sum is σ = 2341465114560. Its totient is φ = 696562929216.

The previous prime is 1306122354127. The next prime is 1306122354137. The reversal of 1306122354135 is 5314532216031.

1306122354135 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 1 + 2 + 235 + 413 + 5 = 666.

It is not a de Polignac number, because 1306122354135 - 2³ = 1306122354127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1306122354135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306122354137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9097569 + ... + 9240021.

It is an arithmetic number, because the mean of its divisors is an integer number (58536627864).

Almost surely, 2^{1306122354135} is an apocalyptic number.

1306122354135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1306122354135 is a deficient number, since it is larger than the sum of its proper divisors (1035342760425).

1306122354135 is a wasteful number, since it uses less digits than its factorization.

1306122354135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165109 (or 165100 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1306122354135 in words is "one trillion, three hundred six billion, one hundred twenty-two million, three hundred fifty-four thousand, one hundred thirty-five".