1311015120 has 80 divisors (see below), whose sum is σ = 4068965760. Its totient is φ = 349189632.

The previous prime is 1311015077. The next prime is 1311015137. The reversal of 1311015120 is 215101131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1311015120² = 3437521289737228800, 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 1311015120.

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, 236541 + ... + 242019.

It is an arithmetic number, because the mean of its divisors is an integer number (50862072).

Almost surely, 2^1311015120 is an apocalyptic number.

1311015120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311015120 is an abundant number, since it is smaller than the sum of its proper divisors (2757950640).

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

1311015120 is a wasteful number, since it uses less digits than its factorization.

1311015120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 1311015120 is about 36207.9427750321. The cubic root of 1311015120 is about 1094.4667364445.

Adding to 1311015120 its reverse (215101131), we get a palindrome (1526116251).

The spelling of 1311015120 in words is "one billion, three hundred eleven million, fifteen thousand, one hundred twenty".