1023313131 has 24 divisors (see below), whose sum is σ = 1547320320. Its totient is φ = 650890800.

The previous prime is 1023313129. The next prime is 1023313141. The reversal of 1023313131 is 1313133201.

It is a happy number.

It is not a de Polignac number, because 1023313131 - 2¹ = 1023313129 is a prime.

It is a super-2 number, since 2×1023313131² = 2094339528154046322, which contains 22 as substring.

1023313131 is a modest number, since divided by 313131 gives 1023 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1023313121) 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 23 ways as a sum of consecutive naturals, for example, 6021 + ... + 45638.

It is an arithmetic number, because the mean of its divisors is an integer number (64471680).

Almost surely, 2^1023313131 is an apocalyptic number.

1023313131 is a deficient number, since it is larger than the sum of its proper divisors (524007189).

1023313131 is a wasteful number, since it uses less digits than its factorization.

1023313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51767 (or 51764 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1023313131 is about 31989.2658715388. The cubic root of 1023313131 is about 1007.7114247391.

Adding to 1023313131 its reverse (1313133201), we get a palindrome (2336446332).

The spelling of 1023313131 in words is "one billion, twenty-three million, three hundred thirteen thousand, one hundred thirty-one".