1013313131 has 4 divisors (see below), whose sum is σ = 1014092112. Its totient is φ = 1012534152.

The previous prime is 1013313121. The next prime is 1013313137. The reversal of 1013313131 is 1313133101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 1013313131 - 2²⁶ = 946204267 is a prime.

It is a super-2 number, since 2×1013313131² = 2053607002914046322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013313137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 387536 + ... + 390141.

It is an arithmetic number, because the mean of its divisors is an integer number (253523028).

Almost surely, 2^1013313131 is an apocalyptic number.

1013313131 is a deficient number, since it is larger than the sum of its proper divisors (778981).

1013313131 is an equidigital number, since it uses as much as digits as its factorization.

1013313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778980.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1013313131 is about 31832.5797101020. The cubic root of 1013313131 is about 1004.4181614351.

Adding to 1013313131 its reverse (1313133101), we get a palindrome (2326446232).

The spelling of 1013313131 in words is "one billion, thirteen million, three hundred thirteen thousand, one hundred thirty-one".