1310011312120 has 64 divisors (see below), whose sum is σ = 3414745782720. Its totient is φ = 442994033664.

The previous prime is 1310011312063. The next prime is 1310011312171. The reversal of 1310011312120 is 212131100131.

It is a happy number.

It is a super-2 number, since 2×1310011312120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310011312094 and 1310011312103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32024847 + ... + 32065726.

It is an arithmetic number, because the mean of its divisors is an integer number (53355402855).

Almost surely, 2^{1310011312120} is an apocalyptic number.

1310011312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310011312120 is an abundant number, since it is smaller than the sum of its proper divisors (2104734470600).

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

1310011312120 is a wasteful number, since it uses less digits than its factorization.

1310011312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64090664 (or 64090660 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1310011312120 its reverse (212131100131), we get a palindrome (1522142412251).

The spelling of 1310011312120 in words is "one trillion, three hundred ten billion, eleven million, three hundred twelve thousand, one hundred twenty".