13182100690 has 32 divisors (see below), whose sum is σ = 26249443200. Its totient is φ = 4725974400.

The previous prime is 13182100661. The next prime is 13182100697. The reversal of 13182100690 is 9600128131.

13182100690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13182100690² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13182100697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 836115 + ... + 851734.

It is an arithmetic number, because the mean of its divisors is an integer number (820295100).

Almost surely, 2^13182100690 is an apocalyptic number.

13182100690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13182100690 is a deficient number, since it is larger than the sum of its proper divisors (13067342510).

13182100690 is a wasteful number, since it uses less digits than its factorization.

13182100690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687938.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 13182100690 in words is "thirteen billion, one hundred eighty-two million, one hundred thousand, six hundred ninety".