1311131310 has 32 divisors (see below), whose sum is σ = 3149504640. Its totient is φ = 349325088.

The previous prime is 1311131303. The next prime is 1311131387. The reversal of 1311131310 is 131311131.

It is a super-2 number, since 2×1311131310² = 3438130624124632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1311131310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16101 + ... + 53679.

It is an arithmetic number, because the mean of its divisors is an integer number (98422020).

Almost surely, 2^1311131310 is an apocalyptic number.

1311131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311131310 is an abundant number, since it is smaller than the sum of its proper divisors (1838373330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311131310 is a wasteful number, since it uses less digits than its factorization.

1311131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38752.

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 1311131310 is about 36209.5472216928. The cubic root of 1311131310 is about 1094.4990682185.

Adding to 1311131310 its reverse (131311131), we get a palindrome (1442442441).

The spelling of 1311131310 in words is "one billion, three hundred eleven million, one hundred thirty-one thousand, three hundred ten".