1010013131 has 8 divisors (see below), whose sum is σ = 1047811680. Its totient is φ = 972412672.

The previous prime is 1010013089. The next prime is 1010013149. The reversal of 1010013131 is 1313100101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010013131 is a prime.

It is a super-3 number, since 3×1010013131³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39095 + ... + 59568.

It is an arithmetic number, because the mean of its divisors is an integer number (130976460).

Almost surely, 2^1010013131 is an apocalyptic number.

1010013131 is a deficient number, since it is larger than the sum of its proper divisors (37798549).

1010013131 is an equidigital number, since it uses as much as digits as its factorization.

1010013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99045.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1010013131 is about 31780.7037524344. The cubic root of 1010013131 is about 1003.3266315843.

Adding to 1010013131 its reverse (1313100101), we get a palindrome (2323113232).

The spelling of 1010013131 in words is "one billion, ten million, thirteen thousand, one hundred thirty-one".