10132008136820 has 48 divisors (see below), whose sum is σ = 21411067281408. Its totient is φ = 4027352528640.

The previous prime is 10132008136819. The next prime is 10132008136843. The reversal of 10132008136820 is 2863180023101.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 2248877 + ... + 5032043.

It is an arithmetic number, because the mean of its divisors is an integer number (446063901696).

Almost surely, 2^{10132008136820} is an apocalyptic number.

10132008136820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132008136820 is an abundant number, since it is smaller than the sum of its proper divisors (11279059144588).

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

10132008136820 is a wasteful number, since it uses less digits than its factorization.

10132008136820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784320 (or 2784318 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

Adding to 10132008136820 its reverse (2863180023101), we get a palindrome (12995188159921).

The spelling of 10132008136820 in words is "ten trillion, one hundred thirty-two billion, eight million, one hundred thirty-six thousand, eight hundred twenty".