1310015105120 has 96 divisors (see below), whose sum is σ = 3107949899040. Its totient is φ = 521800888320.

The previous prime is 1310015105099. The next prime is 1310015105153. The reversal of 1310015105120 is 215015100131.

It is a happy number.

It is a super-2 number, since 2×1310015105120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1310015105092 and 1310015105101.

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, 72846530 + ... + 72864510.

It is an arithmetic number, because the mean of its divisors is an integer number (32374478115).

Almost surely, 2^{1310015105120} is an apocalyptic number.

1310015105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310015105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553974949520).

1310015105120 is an abundant number, since it is smaller than the sum of its proper divisors (1797934793920).

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

1310015105120 is a wasteful number, since it uses less digits than its factorization.

1310015105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19888 (or 19880 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 1310015105120 in words is "one trillion, three hundred ten billion, fifteen million, one hundred five thousand, one hundred twenty".