1310355120420 has 72 divisors (see below), whose sum is σ = 3978915156216. Its totient is φ = 349061325312.

The previous prime is 1310355120377. The next prime is 1310355120427. The reversal of 1310355120420 is 240215530131.

1310355120420 is a `hidden beast` number, since 1 + 3 + 103 + 5 + 512 + 0 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 341355073536 + 969000046884 = 584256^2 + 984378^2 .

It is a super-2 number, since 2×1310355120420² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310355120427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3647847 + ... + 3990926.

It is an arithmetic number, because the mean of its divisors is an integer number (55262710503).

Almost surely, 2^{1310355120420} is an apocalyptic number.

1310355120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310355120420 is an abundant number, since it is smaller than the sum of its proper divisors (2668560035796).

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

1310355120420 is a wasteful number, since it uses less digits than its factorization.

1310355120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639741 (or 7639736 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1310355120420 in words is "one trillion, three hundred ten billion, three hundred fifty-five million, one hundred twenty thousand, four hundred twenty".