1311213120 has 112 divisors (see below), whose sum is σ = 4757854848. Its totient is φ = 299704320.

The previous prime is 1311213083. The next prime is 1311213121. The reversal of 1311213120 is 213121131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 1311213120.

It is not an unprimeable number, because it can be changed into a prime (1311213121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90841 + ... + 104280.

Almost surely, 2^1311213120 is an apocalyptic number.

1311213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311213120 is an abundant number, since it is smaller than the sum of its proper divisors (3446641728).

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

1311213120 is a wasteful number, since it uses less digits than its factorization.

1311213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195148 (or 195138 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1311213120 is about 36210.6768785120. The cubic root of 1311213120 is about 1094.5218320474.

Adding to 1311213120 its reverse (213121131), we get a palindrome (1524334251).

The spelling of 1311213120 in words is "one billion, three hundred eleven million, two hundred thirteen thousand, one hundred twenty".