100020011001300 has 288 divisors, whose sum is σ = 366649526678400. Its totient is φ = 23172056709120.

The previous prime is 100020011001299. The next prime is 100020011001311. The reversal of 100020011001300 is 3100110020001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83214270 + ... + 84407669.

It is an arithmetic number, because the mean of its divisors is an integer number (1273088634300).

Almost surely, 2^{100020011001300} is an apocalyptic number.

100020011001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020011001300 is an abundant number, since it is smaller than the sum of its proper divisors (266629515677100).

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

100020011001300 is a wasteful number, since it uses less digits than its factorization.

100020011001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167621992 (or 167621979 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100020011001300 its reverse (3100110020001), we get a palindrome (103120121021301).

The spelling of 100020011001300 in words is "one hundred trillion, twenty billion, eleven million, one thousand, three hundred".