1004211131 has 24 divisors (see below), whose sum is σ = 1330012416. Its totient is φ = 736456320.

The previous prime is 1004211079. The next prime is 1004211133. The reversal of 1004211131 is 1311124001.

It is not a de Polignac number, because 1004211131 - 2¹⁴ = 1004194747 is a prime.

It is a super-2 number, since 2×1004211131² = 2016879991248598322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004211133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311 + ... + 44816.

It is an arithmetic number, because the mean of its divisors is an integer number (55417184).

Almost surely, 2^1004211131 is an apocalyptic number.

1004211131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1004211131 is a deficient number, since it is larger than the sum of its proper divisors (325801285).

1004211131 is a wasteful number, since it uses less digits than its factorization.

1004211131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45179 (or 45162 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1004211131 is about 31689.2904780148. The cubic root of 1004211131 is about 1001.4017445275.

Adding to 1004211131 its reverse (1311124001), we get a palindrome (2315335132).

The spelling of 1004211131 in words is "one billion, four million, two hundred eleven thousand, one hundred thirty-one".