1303113031 has 16 divisors (see below), whose sum is σ = 1448028288. Its totient is φ = 1162792800.

The previous prime is 1303113017. The next prime is 1303113041.

1303113031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1303113031 - 2¹³ = 1303104839 is a prime.

It is a super-2 number, since 2×1303113031² = 3396207143124013922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1303112996 and 1303113014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303113011) 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 15 ways as a sum of consecutive naturals, for example, 138796 + ... + 147886.

It is an arithmetic number, because the mean of its divisors is an integer number (90501768).

Almost surely, 2^1303113031 is an apocalyptic number.

1303113031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1303113031 is a deficient number, since it is larger than the sum of its proper divisors (144915257).

1303113031 is a wasteful number, since it uses less digits than its factorization.

1303113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1303113031 is about 36098.6569140737. The cubic root of 1303113031 is about 1092.2633526815.

It can be divided in two parts, 13031 and 13031, that added together give a palindrome (26062).

The spelling of 1303113031 in words is "one billion, three hundred three million, one hundred thirteen thousand, thirty-one".