100655226513 has 24 divisors (see below), whose sum is σ = 146063467368. Its totient is φ = 66793554432.

The previous prime is 100655226473. The next prime is 100655226523. The reversal of 100655226513 is 315622556001.

100655226513 is a `hidden beast` number, since 1 + 0 + 0 + 65 + 522 + 65 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2431278864 + 98223947649 = 49308^2 + 313407^2 .

It is not a de Polignac number, because 100655226513 - 2⁶ = 100655226449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100655226523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2505481 + ... + 2545337.

It is an arithmetic number, because the mean of its divisors is an integer number (6085977807).

Almost surely, 2^100655226513 is an apocalyptic number.

It is an amenable number.

100655226513 is a deficient number, since it is larger than the sum of its proper divisors (45408240855).

100655226513 is a wasteful number, since it uses less digits than its factorization.

100655226513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41153 (or 41150 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 100655226513 in words is "one hundred billion, six hundred fifty-five million, two hundred twenty-six thousand, five hundred thirteen".