8013100 has 36 divisors (see below), whose sum is σ = 17514504. Its totient is φ = 3182080.

The previous prime is 8013043. The next prime is 8013101. The reversal of 8013100 is 13108.

8013100 = T₁₄₄ + T₁₄₅ + ... + T₃₇₀.

It is a super-2 number, since 2×8013100² = 128419543220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22524 + ... + 22876.

It is an arithmetic number, because the mean of its divisors is an integer number (486514).

Almost surely, 2^8013100 is an apocalyptic number.

It is an amenable number.

8013100 is an abundant number, since it is smaller than the sum of its proper divisors (9501404).

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

8013100 is a wasteful number, since it uses less digits than its factorization.

8013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 8013100 is about 2830.7419522097. The cubic root of 8013100 is about 200.1091071340.

Adding to 8013100 its reverse (13108), we get a palindrome (8026208).

The spelling of 8013100 in words is "eight million, thirteen thousand, one hundred".