123355101753 has 24 divisors (see below), whose sum is σ = 197071821128. Its totient is φ = 73859185152.

The previous prime is 123355101733. The next prime is 123355101757. The reversal of 123355101753 is 357101553321.

123355101753 is a `hidden beast` number, since 1 + 2 + 33 + 551 + 0 + 1 + 75 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5931002169 + 117424099584 = 77013^2 + 342672^2 .

It is not a de Polignac number, because 123355101753 - 2¹⁴ = 123355085369 is a prime.

It is a super-2 number, since 2×123355101753² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123355101757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14243200 + ... + 14251857.

Almost surely, 2^123355101753 is an apocalyptic number.

123355101753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123355101753 is a deficient number, since it is larger than the sum of its proper divisors (73716719375).

123355101753 is a wasteful number, since it uses less digits than its factorization.

123355101753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28495113 (or 28495110 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The spelling of 123355101753 in words is "one hundred twenty-three billion, three hundred fifty-five million, one hundred one thousand, seven hundred fifty-three".