13730010600 has 96 divisors (see below), whose sum is σ = 42953724000. Its totient is φ = 3627728640.

The previous prime is 13730010557. The next prime is 13730010643. The reversal of 13730010600 is 601003731.

It is an interprime number because it is at equal distance from previous prime (13730010557) and next prime (13730010643).

It is a super-2 number, since 2×13730010600² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 39570 + ... + 170369.

It is an arithmetic number, because the mean of its divisors is an integer number (447434625).

Almost surely, 2^13730010600 is an apocalyptic number.

13730010600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13730010600 is an abundant number, since it is smaller than the sum of its proper divisors (29223713400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13730010600 is a wasteful number, since it uses less digits than its factorization.

13730010600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210067 (or 210058 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The spelling of 13730010600 in words is "thirteen billion, seven hundred thirty million, ten thousand, six hundred".