13123047653820 has 288 divisors, whose sum is σ = 44935473046464. Its totient is φ = 3078209433600.

The previous prime is 13123047653803. The next prime is 13123047653839. The reversal of 13123047653820 is 2835674032131.

13123047653820 is a `hidden beast` number, since 1 + 3 + 1 + 23 + 0 + 4 + 76 + 538 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2534910 + ... + 5715930.

It is an arithmetic number, because the mean of its divisors is an integer number (156025948078).

Almost surely, 2^{13123047653820} is an apocalyptic number.

13123047653820 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 13123047653820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467736523232).

13123047653820 is an abundant number, since it is smaller than the sum of its proper divisors (31812425392644).

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

13123047653820 is a wasteful number, since it uses less digits than its factorization.

13123047653820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181133 (or 3181128 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13123047653820 in words is "thirteen trillion, one hundred twenty-three billion, forty-seven million, six hundred fifty-three thousand, eight hundred twenty".