100013363 has 12 divisors (see below), whose sum is σ = 106718112. Its totient is φ = 93709440.

The previous prime is 100013357. The next prime is 100013371. The reversal of 100013363 is 363310001.

It is not a de Polignac number, because 100013363 - 2¹⁸ = 99751219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (100093363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77681 + ... + 78957.

It is an arithmetic number, because the mean of its divisors is an integer number (8893176).

Almost surely, 2^100013363 is an apocalyptic number.

100013363 is a deficient number, since it is larger than the sum of its proper divisors (6704749).

100013363 is a wasteful number, since it uses less digits than its factorization.

100013363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 100013363 is about 10000.6681276803. The cubic root of 100013363 is about 464.1795576243.

Adding to 100013363 its reverse (363310001), we get a palindrome (463323364).

The spelling of 100013363 in words is "one hundred million, thirteen thousand, three hundred sixty-three".