123121314331100 has 36 divisors (see below), whose sum is σ = 267652916945064. Its totient is φ = 49160108249280.

The previous prime is 123121314331049. The next prime is 123121314331123. The reversal of 123121314331100 is 1133413121321.

It is a self number, because there is not a number n which added to its sum of digits gives 123121314331100.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1105162562 + ... + 1105273961.

It is an arithmetic number, because the mean of its divisors is an integer number (7434803248474).

Almost surely, 2^{123121314331100} is an apocalyptic number.

123121314331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123121314331100 is an abundant number, since it is smaller than the sum of its proper divisors (144531602613964).

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

123121314331100 is a wasteful number, since it uses less digits than its factorization.

123121314331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210437094 (or 2210437087 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 123121314331100 its reverse (1133413121321), we get a palindrome (124254727452421).

The spelling of 123121314331100 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, three hundred fourteen million, three hundred thirty-one thousand, one hundred".