102000013123320 has 288 divisors, whose sum is σ = 379235347938720. Its totient is φ = 23630771957760.

The previous prime is 102000013123237. The next prime is 102000013123357. The reversal of 102000013123320 is 23321310000201.

102000013123320 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 0 + 0 + 1 + 312 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102000013123293 and 102000013123302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36354876 + ... + 39059915.

It is an arithmetic number, because the mean of its divisors is an integer number (1316789402565).

Almost surely, 2^{102000013123320} is an apocalyptic number.

102000013123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000013123320 is an abundant number, since it is smaller than the sum of its proper divisors (277235334815400).

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

102000013123320 is a wasteful number, since it uses less digits than its factorization.

102000013123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75414855 (or 75414831 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102000013123320 its reverse (23321310000201), we get a palindrome (125321323123521).

The spelling of 102000013123320 in words is "one hundred two trillion, thirteen million, one hundred twenty-three thousand, three hundred twenty".