103123321313199 has 32 divisors (see below), whose sum is σ = 151632226257408. Its totient is φ = 61819092720000.

The previous prime is 103123321313179. The next prime is 103123321313227. The reversal of 103123321313199 is 991313123321301.

It is not a de Polignac number, because 103123321313199 - 2⁷ = 103123321313071 is a prime.

It is a super-2 number, since 2×103123321313199² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103123321313199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103123321313179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11895187 + ... + 18647844.

It is an arithmetic number, because the mean of its divisors is an integer number (4738507070544).

Almost surely, 2^{103123321313199} is an apocalyptic number.

103123321313199 is a deficient number, since it is larger than the sum of its proper divisors (48508904944209).

103123321313199 is a wasteful number, since it uses less digits than its factorization.

103123321313199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30544159.

The product of its (nonzero) digits is 78732, while the sum is 42.

The spelling of 103123321313199 in words is "one hundred three trillion, one hundred twenty-three billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred ninety-nine".