1000131033 has 32 divisors (see below), whose sum is σ = 1519119360. Its totient is φ = 579709760.

The previous prime is 1000131019. The next prime is 1000131037. The reversal of 1000131033 is 3301310001.

It is a cyclic number.

It is not a de Polignac number, because 1000131033 - 2⁴ = 1000131017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000131037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97516 + ... + 107282.

It is an arithmetic number, because the mean of its divisors is an integer number (47472480).

Almost surely, 2^1000131033 is an apocalyptic number.

It is an amenable number.

1000131033 is a deficient number, since it is larger than the sum of its proper divisors (518988327).

1000131033 is a wasteful number, since it uses less digits than its factorization.

1000131033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9917.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1000131033 is about 31624.8483474625. The cubic root of 1000131033 is about 1000.0436757591.

Adding to 1000131033 its reverse (3301310001), we get a palindrome (4301441034).

The spelling of 1000131033 in words is "one billion, one hundred thirty-one thousand, thirty-three".