103323134113920 has 1920 divisors, whose sum is σ = 437732116945200. Its totient is φ = 23151488532480.

The previous prime is 103323134113919. The next prime is 103323134113937. The reversal of 103323134113920 is 29311431323301.

103323134113920 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 231 + 3 + 411 + 3 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12557271053376 + 90765863060544 = 3543624^2 + 9527112^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 54697264336 + ... + 54697266224.

Almost surely, 2^{103323134113920} is an apocalyptic number.

103323134113920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103323134113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218866058472600).

103323134113920 is an abundant number, since it is smaller than the sum of its proper divisors (334408982831280).

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

103323134113920 is a wasteful number, since it uses less digits than its factorization.

103323134113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 103323134113920 in words is "one hundred three trillion, three hundred twenty-three billion, one hundred thirty-four million, one hundred thirteen thousand, nine hundred twenty".