13001004 has 36 divisors (see below), whose sum is σ = 33426120. Its totient is φ = 4259520.

The previous prime is 13000993. The next prime is 13001029. The reversal of 13001004 is 40010031.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13001004² = 338052210016032, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 937 + ... + 5184.

Almost surely, 2^13001004 is an apocalyptic number.

It is an amenable number.

13001004 is an abundant number, since it is smaller than the sum of its proper divisors (20425116).

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

13001004 is a wasteful number, since it uses less digits than its factorization.

13001004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6190 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13001004 is about 3605.6905025251. The cubic root of 13001004 is about 235.1395217958.

Adding to 13001004 its reverse (40010031), we get a palindrome (53011035).

It can be divided in two parts, 1300 and 1004, that added together give a square (2304 = 48²).

The spelling of 13001004 in words is "thirteen million, one thousand, four".