100311213020020 has 24 divisors (see below), whose sum is σ = 210654323052264. Its totient is φ = 40124337453696.

The previous prime is 100311213020009. The next prime is 100311213020099. The reversal of 100311213020020 is 20020312113001.

It can be written as a sum of positive squares in 4 ways, for example, as 23809286034576 + 76501926985444 = 4879476^2 + 8746538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100311213019976 and 100311213020003.

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 7 ways as a sum of consecutive naturals, for example, 3583267 + ... + 14610346.

It is an arithmetic number, because the mean of its divisors is an integer number (8777263460511).

Almost surely, 2^{100311213020020} is an apocalyptic number.

100311213020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100311213020020 is an abundant number, since it is smaller than the sum of its proper divisors (110343110032244).

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

100311213020020 is a wasteful number, since it uses less digits than its factorization.

100311213020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18469299 (or 18469297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100311213020020 its reverse (20020312113001), we get a palindrome (120331525133021).

The spelling of 100311213020020 in words is "one hundred trillion, three hundred eleven billion, two hundred thirteen million, twenty thousand, twenty".